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Finding the Fourth Proportional to 49.38, 73.56 and 48.76

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Solution

The fourth proportional to 49.38, 73.56 and 48.76 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.38 : 73.56 = 48.76 : x
  2. Step 2: Convert to fraction form
    49.38/73.56 = 48.76/x
  3. Step 3: Cross multiply
    49.38x = 73.56 × 48.76
  4. Step 4: Simplify right side
    49.38x = 3,586.79
  5. Step 5: Solve for x
    x = 3,586.79/49.38
  6. Step 6: Final answer
    x = 72.64

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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.