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Finding the Fourth Proportional to 410.53, 566.53 and 224.01

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Solution

The fourth proportional to 410.53, 566.53 and 224.01 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.53 : 566.53 = 224.01 : x
  2. Step 2: Convert to fraction form
    410.53/566.53 = 224.01/x
  3. Step 3: Cross multiply
    410.53x = 566.53 × 224.01
  4. Step 4: Simplify right side
    410.53x = 126,909.52
  5. Step 5: Solve for x
    x = 126,909.52/410.53
  6. Step 6: Final answer
    x = 309.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.