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Finding the Fourth Proportional to 318.59, 475.82 and 316.52

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Solution

The fourth proportional to 318.59, 475.82 and 316.52 is: 472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.59 : 475.82 = 316.52 : x
  2. Step 2: Convert to fraction form
    318.59/475.82 = 316.52/x
  3. Step 3: Cross multiply
    318.59x = 475.82 × 316.52
  4. Step 4: Simplify right side
    318.59x = 150,606.55
  5. Step 5: Solve for x
    x = 150,606.55/318.59
  6. Step 6: Final answer
    x = 472.73

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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.