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Finding the Fourth Proportional to 49.89, 74.44 and 42.31

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Solution

The fourth proportional to 49.89, 74.44 and 42.31 is: 63.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.89 : 74.44 = 42.31 : x
  2. Step 2: Convert to fraction form
    49.89/74.44 = 42.31/x
  3. Step 3: Cross multiply
    49.89x = 74.44 × 42.31
  4. Step 4: Simplify right side
    49.89x = 3,149.56
  5. Step 5: Solve for x
    x = 3,149.56/49.89
  6. Step 6: Final answer
    x = 63.13

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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.