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Finding the Fourth Proportional to 57.31, 86.00 and 31.65

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Solution

The fourth proportional to 57.31, 86.00 and 31.65 is: 47.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 86.00 = 31.65 : x
  2. Step 2: Convert to fraction form
    57.31/86.00 = 31.65/x
  3. Step 3: Cross multiply
    57.31x = 86.00 × 31.65
  4. Step 4: Simplify right side
    57.31x = 2,721.98
  5. Step 5: Solve for x
    x = 2,721.98/57.31
  6. Step 6: Final answer
    x = 47.50

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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.