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Finding the Fourth Proportional to 71.57, 107.36 and 37.31

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Solution

The fourth proportional to 71.57, 107.36 and 37.31 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 107.36 = 37.31 : x
  2. Step 2: Convert to fraction form
    71.57/107.36 = 37.31/x
  3. Step 3: Cross multiply
    71.57x = 107.36 × 37.31
  4. Step 4: Simplify right side
    71.57x = 4,004.88
  5. Step 5: Solve for x
    x = 4,004.88/71.57
  6. Step 6: Final answer
    x = 55.96

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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.