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Finding the Fourth Proportional to 91.95, 137.91 and 40.51

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Solution

The fourth proportional to 91.95, 137.91 and 40.51 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.95 : 137.91 = 40.51 : x
  2. Step 2: Convert to fraction form
    91.95/137.91 = 40.51/x
  3. Step 3: Cross multiply
    91.95x = 137.91 × 40.51
  4. Step 4: Simplify right side
    91.95x = 5,586.73
  5. Step 5: Solve for x
    x = 5,586.73/91.95
  6. Step 6: Final answer
    x = 60.76

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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.