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Finding the Fourth Proportional to 40.13, 55.76 and 39.71

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Solution

The fourth proportional to 40.13, 55.76 and 39.71 is: 55.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 55.76 = 39.71 : x
  2. Step 2: Convert to fraction form
    40.13/55.76 = 39.71/x
  3. Step 3: Cross multiply
    40.13x = 55.76 × 39.71
  4. Step 4: Simplify right side
    40.13x = 2,214.54
  5. Step 5: Solve for x
    x = 2,214.54/40.13
  6. Step 6: Final answer
    x = 55.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.