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Finding the Fourth Proportional to 409.91, 565.40 and 252.59

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Solution

The fourth proportional to 409.91, 565.40 and 252.59 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 565.40 = 252.59 : x
  2. Step 2: Convert to fraction form
    409.91/565.40 = 252.59/x
  3. Step 3: Cross multiply
    409.91x = 565.40 × 252.59
  4. Step 4: Simplify right side
    409.91x = 142,810.30
  5. Step 5: Solve for x
    x = 142,810.30/409.91
  6. Step 6: Final answer
    x = 348.40

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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.