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Finding the Fourth Proportional to 49.52, 74.19 and 27.74

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Solution

The fourth proportional to 49.52, 74.19 and 27.74 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.52 : 74.19 = 27.74 : x
  2. Step 2: Convert to fraction form
    49.52/74.19 = 27.74/x
  3. Step 3: Cross multiply
    49.52x = 74.19 × 27.74
  4. Step 4: Simplify right side
    49.52x = 2,058.03
  5. Step 5: Solve for x
    x = 2,058.03/49.52
  6. Step 6: Final answer
    x = 41.56

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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.