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Finding the Fourth Proportional to 71.38, 107.07 and 40.93

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Solution

The fourth proportional to 71.38, 107.07 and 40.93 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 107.07 = 40.93 : x
  2. Step 2: Convert to fraction form
    71.38/107.07 = 40.93/x
  3. Step 3: Cross multiply
    71.38x = 107.07 × 40.93
  4. Step 4: Simplify right side
    71.38x = 4,382.49
  5. Step 5: Solve for x
    x = 4,382.49/71.38
  6. Step 6: Final answer
    x = 61.40

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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.