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Finding the Fourth Proportional to 33.46, 49.84 and 31.48

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Solution

The fourth proportional to 33.46, 49.84 and 31.48 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 49.84 = 31.48 : x
  2. Step 2: Convert to fraction form
    33.46/49.84 = 31.48/x
  3. Step 3: Cross multiply
    33.46x = 49.84 × 31.48
  4. Step 4: Simplify right side
    33.46x = 1,568.96
  5. Step 5: Solve for x
    x = 1,568.96/33.46
  6. Step 6: Final answer
    x = 46.89

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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.