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Finding the Fourth Proportional to 91.93, 138.05 and 76.84

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Solution

The fourth proportional to 91.93, 138.05 and 76.84 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.93 : 138.05 = 76.84 : x
  2. Step 2: Convert to fraction form
    91.93/138.05 = 76.84/x
  3. Step 3: Cross multiply
    91.93x = 138.05 × 76.84
  4. Step 4: Simplify right side
    91.93x = 10,607.76
  5. Step 5: Solve for x
    x = 10,607.76/91.93
  6. Step 6: Final answer
    x = 115.39

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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.