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Finding the Fourth Proportional to 40.76, 61.43 and 38.54

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Solution

The fourth proportional to 40.76, 61.43 and 38.54 is: 58.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 61.43 = 38.54 : x
  2. Step 2: Convert to fraction form
    40.76/61.43 = 38.54/x
  3. Step 3: Cross multiply
    40.76x = 61.43 × 38.54
  4. Step 4: Simplify right side
    40.76x = 2,367.01
  5. Step 5: Solve for x
    x = 2,367.01/40.76
  6. Step 6: Final answer
    x = 58.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.