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Finding the Fourth Proportional to 33.59, 46.39 and 31.90

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Solution

The fourth proportional to 33.59, 46.39 and 31.90 is: 44.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.59 : 46.39 = 31.90 : x
  2. Step 2: Convert to fraction form
    33.59/46.39 = 31.90/x
  3. Step 3: Cross multiply
    33.59x = 46.39 × 31.90
  4. Step 4: Simplify right side
    33.59x = 1,479.45
  5. Step 5: Solve for x
    x = 1,479.45/33.59
  6. Step 6: Final answer
    x = 44.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.