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Finding the Fourth Proportional to 91.46, 137.26 and 54.88

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Solution

The fourth proportional to 91.46, 137.26 and 54.88 is: 82.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 137.26 = 54.88 : x
  2. Step 2: Convert to fraction form
    91.46/137.26 = 54.88/x
  3. Step 3: Cross multiply
    91.46x = 137.26 × 54.88
  4. Step 4: Simplify right side
    91.46x = 7,532.55
  5. Step 5: Solve for x
    x = 7,532.55/91.46
  6. Step 6: Final answer
    x = 82.36

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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.