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Finding the Fourth Proportional to 37.31, 55.86 and 31.53

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Solution

The fourth proportional to 37.31, 55.86 and 31.53 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.31 : 55.86 = 31.53 : x
  2. Step 2: Convert to fraction form
    37.31/55.86 = 31.53/x
  3. Step 3: Cross multiply
    37.31x = 55.86 × 31.53
  4. Step 4: Simplify right side
    37.31x = 1,761.27
  5. Step 5: Solve for x
    x = 1,761.27/37.31
  6. Step 6: Final answer
    x = 47.21

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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.