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Finding the Fourth Proportional to 92.15, 138.23 and 40.78

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Solution

The fourth proportional to 92.15, 138.23 and 40.78 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.15 : 138.23 = 40.78 : x
  2. Step 2: Convert to fraction form
    92.15/138.23 = 40.78/x
  3. Step 3: Cross multiply
    92.15x = 138.23 × 40.78
  4. Step 4: Simplify right side
    92.15x = 5,636.61
  5. Step 5: Solve for x
    x = 5,636.61/92.15
  6. Step 6: Final answer
    x = 61.17

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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.