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Finding the Fourth Proportional to 92.42, 137.77 and 87.24

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Solution

The fourth proportional to 92.42, 137.77 and 87.24 is: 130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 137.77 = 87.24 : x
  2. Step 2: Convert to fraction form
    92.42/137.77 = 87.24/x
  3. Step 3: Cross multiply
    92.42x = 137.77 × 87.24
  4. Step 4: Simplify right side
    92.42x = 12,019.05
  5. Step 5: Solve for x
    x = 12,019.05/92.42
  6. Step 6: Final answer
    x = 130.05

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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.