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Finding the Fourth Proportional to 237.97, 357.02 and 91.72

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Solution

The fourth proportional to 237.97, 357.02 and 91.72 is: 137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 357.02 = 91.72 : x
  2. Step 2: Convert to fraction form
    237.97/357.02 = 91.72/x
  3. Step 3: Cross multiply
    237.97x = 357.02 × 91.72
  4. Step 4: Simplify right side
    237.97x = 32,745.87
  5. Step 5: Solve for x
    x = 32,745.87/237.97
  6. Step 6: Final answer
    x = 137.61

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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.