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Finding the Fourth Proportional to 613.20, 919.84 and 202.34

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Solution

The fourth proportional to 613.20, 919.84 and 202.34 is: 303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 919.84 = 202.34 : x
  2. Step 2: Convert to fraction form
    613.20/919.84 = 202.34/x
  3. Step 3: Cross multiply
    613.20x = 919.84 × 202.34
  4. Step 4: Simplify right side
    613.20x = 186,120.43
  5. Step 5: Solve for x
    x = 186,120.43/613.20
  6. Step 6: Final answer
    x = 303.52

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Double scale
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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.