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Finding the Fourth Proportional to 141.25, 211.87 and 38.53

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Solution

The fourth proportional to 141.25, 211.87 and 38.53 is: 57.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.25 : 211.87 = 38.53 : x
  2. Step 2: Convert to fraction form
    141.25/211.87 = 38.53/x
  3. Step 3: Cross multiply
    141.25x = 211.87 × 38.53
  4. Step 4: Simplify right side
    141.25x = 8,163.16
  5. Step 5: Solve for x
    x = 8,163.16/141.25
  6. Step 6: Final answer
    x = 57.79

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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.