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Finding the Fourth Proportional to 49.81, 74.78 and 31.72

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Solution

The fourth proportional to 49.81, 74.78 and 31.72 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.81 : 74.78 = 31.72 : x
  2. Step 2: Convert to fraction form
    49.81/74.78 = 31.72/x
  3. Step 3: Cross multiply
    49.81x = 74.78 × 31.72
  4. Step 4: Simplify right side
    49.81x = 2,372.02
  5. Step 5: Solve for x
    x = 2,372.02/49.81
  6. Step 6: Final answer
    x = 47.62

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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.