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Finding the Fourth Proportional to 92.40, 138.54 and 60.54

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Solution

The fourth proportional to 92.40, 138.54 and 60.54 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 138.54 = 60.54 : x
  2. Step 2: Convert to fraction form
    92.40/138.54 = 60.54/x
  3. Step 3: Cross multiply
    92.40x = 138.54 × 60.54
  4. Step 4: Simplify right side
    92.40x = 8,387.21
  5. Step 5: Solve for x
    x = 8,387.21/92.40
  6. Step 6: Final answer
    x = 90.77

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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.