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Finding the Fourth Proportional to 357.87, 534.04 and 316.87

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Solution

The fourth proportional to 357.87, 534.04 and 316.87 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.87 : 534.04 = 316.87 : x
  2. Step 2: Convert to fraction form
    357.87/534.04 = 316.87/x
  3. Step 3: Cross multiply
    357.87x = 534.04 × 316.87
  4. Step 4: Simplify right side
    357.87x = 169,221.25
  5. Step 5: Solve for x
    x = 169,221.25/357.87
  6. Step 6: Final answer
    x = 472.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.