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Finding the Fourth Proportional to 57.42, 85.96 and 31.70

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Solution

The fourth proportional to 57.42, 85.96 and 31.70 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 85.96 = 31.70 : x
  2. Step 2: Convert to fraction form
    57.42/85.96 = 31.70/x
  3. Step 3: Cross multiply
    57.42x = 85.96 × 31.70
  4. Step 4: Simplify right side
    57.42x = 2,724.93
  5. Step 5: Solve for x
    x = 2,724.93/57.42
  6. Step 6: Final answer
    x = 47.46

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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.