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Finding the Fourth Proportional to 49.52, 73.90 and 43.76

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Solution

The fourth proportional to 49.52, 73.90 and 43.76 is: 65.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.52 : 73.90 = 43.76 : x
  2. Step 2: Convert to fraction form
    49.52/73.90 = 43.76/x
  3. Step 3: Cross multiply
    49.52x = 73.90 × 43.76
  4. Step 4: Simplify right side
    49.52x = 3,233.86
  5. Step 5: Solve for x
    x = 3,233.86/49.52
  6. Step 6: Final answer
    x = 65.30

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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.