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Finding the Fourth Proportional to 44.31, 61.09 and 32.02

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Solution

The fourth proportional to 44.31, 61.09 and 32.02 is: 44.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.31 : 61.09 = 32.02 : x
  2. Step 2: Convert to fraction form
    44.31/61.09 = 32.02/x
  3. Step 3: Cross multiply
    44.31x = 61.09 × 32.02
  4. Step 4: Simplify right side
    44.31x = 1,956.10
  5. Step 5: Solve for x
    x = 1,956.10/44.31
  6. Step 6: Final answer
    x = 44.15

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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.