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Finding the Fourth Proportional to 44.34, 61.20 and 31.92

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Solution

The fourth proportional to 44.34, 61.20 and 31.92 is: 44.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.34 : 61.20 = 31.92 : x
  2. Step 2: Convert to fraction form
    44.34/61.20 = 31.92/x
  3. Step 3: Cross multiply
    44.34x = 61.20 × 31.92
  4. Step 4: Simplify right side
    44.34x = 1,953.50
  5. Step 5: Solve for x
    x = 1,953.50/44.34
  6. Step 6: Final answer
    x = 44.06

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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.