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Finding the Fourth Proportional to 57.70, 86.48 and 37.38

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Solution

The fourth proportional to 57.70, 86.48 and 37.38 is: 56.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.70 : 86.48 = 37.38 : x
  2. Step 2: Convert to fraction form
    57.70/86.48 = 37.38/x
  3. Step 3: Cross multiply
    57.70x = 86.48 × 37.38
  4. Step 4: Simplify right side
    57.70x = 3,232.62
  5. Step 5: Solve for x
    x = 3,232.62/57.70
  6. Step 6: Final answer
    x = 56.02

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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.