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Finding the Fourth Proportional to 429, 641.88 and 265.92

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Solution

The fourth proportional to 429, 641.88 and 265.92 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 641.88 = 265.92 : x
  2. Step 2: Convert to fraction form
    429/641.88 = 265.92/x
  3. Step 3: Cross multiply
    429x = 641.88 × 265.92
  4. Step 4: Simplify right side
    429x = 170,688.73
  5. Step 5: Solve for x
    x = 170,688.73/429
  6. Step 6: Final answer
    x = 397.88

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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.