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Finding the Fourth Proportional to 316.78, 476.24 and 252.59

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Solution

The fourth proportional to 316.78, 476.24 and 252.59 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 476.24 = 252.59 : x
  2. Step 2: Convert to fraction form
    316.78/476.24 = 252.59/x
  3. Step 3: Cross multiply
    316.78x = 476.24 × 252.59
  4. Step 4: Simplify right side
    316.78x = 120,293.46
  5. Step 5: Solve for x
    x = 120,293.46/316.78
  6. Step 6: Final answer
    x = 379.74

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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.