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Finding the Fourth Proportional to 40.54, 60.45 and 38.95

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Solution

The fourth proportional to 40.54, 60.45 and 38.95 is: 58.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 60.45 = 38.95 : x
  2. Step 2: Convert to fraction form
    40.54/60.45 = 38.95/x
  3. Step 3: Cross multiply
    40.54x = 60.45 × 38.95
  4. Step 4: Simplify right side
    40.54x = 2,354.53
  5. Step 5: Solve for x
    x = 2,354.53/40.54
  6. Step 6: Final answer
    x = 58.08

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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.