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Finding the Fourth Proportional to 92.66, 138.96 and 43.89

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Solution

The fourth proportional to 92.66, 138.96 and 43.89 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 138.96 = 43.89 : x
  2. Step 2: Convert to fraction form
    92.66/138.96 = 43.89/x
  3. Step 3: Cross multiply
    92.66x = 138.96 × 43.89
  4. Step 4: Simplify right side
    92.66x = 6,098.95
  5. Step 5: Solve for x
    x = 6,098.95/92.66
  6. Step 6: Final answer
    x = 65.82

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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.