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Finding the Fourth Proportional to 612.99, 919.53 and 202.12

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Solution

The fourth proportional to 612.99, 919.53 and 202.12 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 919.53 = 202.12 : x
  2. Step 2: Convert to fraction form
    612.99/919.53 = 202.12/x
  3. Step 3: Cross multiply
    612.99x = 919.53 × 202.12
  4. Step 4: Simplify right side
    612.99x = 185,855.40
  5. Step 5: Solve for x
    x = 185,855.40/612.99
  6. Step 6: Final answer
    x = 303.19

Related Problems

Find fourth proportional to 306.50, 459.77 and 101.06
Half scale
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Double scale
Find fourth proportional to 613.99, 921.03 and 203.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.