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Finding the Fourth Proportional to 49.53, 73.77 and 48.93

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Solution

The fourth proportional to 49.53, 73.77 and 48.93 is: 72.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.53 : 73.77 = 48.93 : x
  2. Step 2: Convert to fraction form
    49.53/73.77 = 48.93/x
  3. Step 3: Cross multiply
    49.53x = 73.77 × 48.93
  4. Step 4: Simplify right side
    49.53x = 3,609.57
  5. Step 5: Solve for x
    x = 3,609.57/49.53
  6. Step 6: Final answer
    x = 72.88

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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.