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Finding the Fourth Proportional to 92.48, 137.12 and 91.64

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Solution

The fourth proportional to 92.48, 137.12 and 91.64 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.48 : 137.12 = 91.64 : x
  2. Step 2: Convert to fraction form
    92.48/137.12 = 91.64/x
  3. Step 3: Cross multiply
    92.48x = 137.12 × 91.64
  4. Step 4: Simplify right side
    92.48x = 12,565.68
  5. Step 5: Solve for x
    x = 12,565.68/92.48
  6. Step 6: Final answer
    x = 135.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.