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Finding the Fourth Proportional to 92.32, 138.30 and 75.22

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Solution

The fourth proportional to 92.32, 138.30 and 75.22 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 138.30 = 75.22 : x
  2. Step 2: Convert to fraction form
    92.32/138.30 = 75.22/x
  3. Step 3: Cross multiply
    92.32x = 138.30 × 75.22
  4. Step 4: Simplify right side
    92.32x = 10,402.93
  5. Step 5: Solve for x
    x = 10,402.93/92.32
  6. Step 6: Final answer
    x = 112.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.