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Finding the Fourth Proportional to 49.88, 74.79 and 31.93

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Solution

The fourth proportional to 49.88, 74.79 and 31.93 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 74.79 = 31.93 : x
  2. Step 2: Convert to fraction form
    49.88/74.79 = 31.93/x
  3. Step 3: Cross multiply
    49.88x = 74.79 × 31.93
  4. Step 4: Simplify right side
    49.88x = 2,387.86
  5. Step 5: Solve for x
    x = 2,387.86/49.88
  6. Step 6: Final answer
    x = 47.87

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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.