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Finding the Fourth Proportional to 92.68, 137.90 and 91.04

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Solution

The fourth proportional to 92.68, 137.90 and 91.04 is: 135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.68 : 137.90 = 91.04 : x
  2. Step 2: Convert to fraction form
    92.68/137.90 = 91.04/x
  3. Step 3: Cross multiply
    92.68x = 137.90 × 91.04
  4. Step 4: Simplify right side
    92.68x = 12,554.42
  5. Step 5: Solve for x
    x = 12,554.42/92.68
  6. Step 6: Final answer
    x = 135.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.