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Finding the Fourth Proportional to 40.72, 56.17 and 28.42

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Solution

The fourth proportional to 40.72, 56.17 and 28.42 is: 39.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.72 : 56.17 = 28.42 : x
  2. Step 2: Convert to fraction form
    40.72/56.17 = 28.42/x
  3. Step 3: Cross multiply
    40.72x = 56.17 × 28.42
  4. Step 4: Simplify right side
    40.72x = 1,596.46
  5. Step 5: Solve for x
    x = 1,596.46/40.72
  6. Step 6: Final answer
    x = 39.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.