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Finding the Fourth Proportional to 33.74, 50.42 and 31.46

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Solution

The fourth proportional to 33.74, 50.42 and 31.46 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.74 : 50.42 = 31.46 : x
  2. Step 2: Convert to fraction form
    33.74/50.42 = 31.46/x
  3. Step 3: Cross multiply
    33.74x = 50.42 × 31.46
  4. Step 4: Simplify right side
    33.74x = 1,586.21
  5. Step 5: Solve for x
    x = 1,586.21/33.74
  6. Step 6: Final answer
    x = 47.01

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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.