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Finding the Fourth Proportional to 42.72, 63.69 and 40.14

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Solution

The fourth proportional to 42.72, 63.69 and 40.14 is: 59.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.72 : 63.69 = 40.14 : x
  2. Step 2: Convert to fraction form
    42.72/63.69 = 40.14/x
  3. Step 3: Cross multiply
    42.72x = 63.69 × 40.14
  4. Step 4: Simplify right side
    42.72x = 2,556.36
  5. Step 5: Solve for x
    x = 2,556.36/42.72
  6. Step 6: Final answer
    x = 59.84

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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.