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Finding the Fourth Proportional to 43.52, 60.00 and 31.84

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Solution

The fourth proportional to 43.52, 60.00 and 31.84 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.52 : 60.00 = 31.84 : x
  2. Step 2: Convert to fraction form
    43.52/60.00 = 31.84/x
  3. Step 3: Cross multiply
    43.52x = 60.00 × 31.84
  4. Step 4: Simplify right side
    43.52x = 1,910.36
  5. Step 5: Solve for x
    x = 1,910.36/43.52
  6. Step 6: Final answer
    x = 43.90

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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.