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Finding the Fourth Proportional to 57.05, 85.42 and 31.25

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Solution

The fourth proportional to 57.05, 85.42 and 31.25 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 85.42 = 31.25 : x
  2. Step 2: Convert to fraction form
    57.05/85.42 = 31.25/x
  3. Step 3: Cross multiply
    57.05x = 85.42 × 31.25
  4. Step 4: Simplify right side
    57.05x = 2,668.79
  5. Step 5: Solve for x
    x = 2,668.79/57.05
  6. Step 6: Final answer
    x = 46.78

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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.