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Finding the Fourth Proportional to 613.19, 919.64 and 223.13

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Solution

The fourth proportional to 613.19, 919.64 and 223.13 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.19 : 919.64 = 223.13 : x
  2. Step 2: Convert to fraction form
    613.19/919.64 = 223.13/x
  3. Step 3: Cross multiply
    613.19x = 919.64 × 223.13
  4. Step 4: Simplify right side
    613.19x = 205,199.27
  5. Step 5: Solve for x
    x = 205,199.27/613.19
  6. Step 6: Final answer
    x = 334.64

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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.