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Finding the Fourth Proportional to 354.96, 534.56 and 316.78

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Solution

The fourth proportional to 354.96, 534.56 and 316.78 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 534.56 = 316.78 : x
  2. Step 2: Convert to fraction form
    354.96/534.56 = 316.78/x
  3. Step 3: Cross multiply
    354.96x = 534.56 × 316.78
  4. Step 4: Simplify right side
    354.96x = 169,337.92
  5. Step 5: Solve for x
    x = 169,337.92/354.96
  6. Step 6: Final answer
    x = 477.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.