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Finding the Fourth Proportional to 429.57, 592.61 and 252.55

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Solution

The fourth proportional to 429.57, 592.61 and 252.55 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 592.61 = 252.55 : x
  2. Step 2: Convert to fraction form
    429.57/592.61 = 252.55/x
  3. Step 3: Cross multiply
    429.57x = 592.61 × 252.55
  4. Step 4: Simplify right side
    429.57x = 149,663.66
  5. Step 5: Solve for x
    x = 149,663.66/429.57
  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.