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Finding the Fourth Proportional to 92.42, 137.88 and 88.42

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Solution

The fourth proportional to 92.42, 137.88 and 88.42 is: 131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 137.88 = 88.42 : x
  2. Step 2: Convert to fraction form
    92.42/137.88 = 88.42/x
  3. Step 3: Cross multiply
    92.42x = 137.88 × 88.42
  4. Step 4: Simplify right side
    92.42x = 12,191.35
  5. Step 5: Solve for x
    x = 12,191.35/92.42
  6. Step 6: Final answer
    x = 131.91

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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.