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Finding the Fourth Proportional to 318.31, 477.53 and 135.66

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Solution

The fourth proportional to 318.31, 477.53 and 135.66 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.31 : 477.53 = 135.66 : x
  2. Step 2: Convert to fraction form
    318.31/477.53 = 135.66/x
  3. Step 3: Cross multiply
    318.31x = 477.53 × 135.66
  4. Step 4: Simplify right side
    318.31x = 64,781.72
  5. Step 5: Solve for x
    x = 64,781.72/318.31
  6. Step 6: Final answer
    x = 203.52

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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.