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Finding the Fourth Proportional to 92.40, 137.92 and 86.32

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Solution

The fourth proportional to 92.40, 137.92 and 86.32 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 137.92 = 86.32 : x
  2. Step 2: Convert to fraction form
    92.40/137.92 = 86.32/x
  3. Step 3: Cross multiply
    92.40x = 137.92 × 86.32
  4. Step 4: Simplify right side
    92.40x = 11,905.25
  5. Step 5: Solve for x
    x = 11,905.25/92.40
  6. Step 6: Final answer
    x = 128.84

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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.