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Finding the Fourth Proportional to 409.66, 565.43 and 252.52

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Solution

The fourth proportional to 409.66, 565.43 and 252.52 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 565.43 = 252.52 : x
  2. Step 2: Convert to fraction form
    409.66/565.43 = 252.52/x
  3. Step 3: Cross multiply
    409.66x = 565.43 × 252.52
  4. Step 4: Simplify right side
    409.66x = 142,781.13
  5. Step 5: Solve for x
    x = 142,781.13/409.66
  6. Step 6: Final answer
    x = 348.54

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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.