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Finding the Fourth Proportional to 40.07, 54.96 and 38.91

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Solution

The fourth proportional to 40.07, 54.96 and 38.91 is: 53.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 54.96 = 38.91 : x
  2. Step 2: Convert to fraction form
    40.07/54.96 = 38.91/x
  3. Step 3: Cross multiply
    40.07x = 54.96 × 38.91
  4. Step 4: Simplify right side
    40.07x = 2,138.49
  5. Step 5: Solve for x
    x = 2,138.49/40.07
  6. Step 6: Final answer
    x = 53.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.