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Finding the Fourth Proportional to 79.31, 109.46 and 44.81

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Solution

The fourth proportional to 79.31, 109.46 and 44.81 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.31 : 109.46 = 44.81 : x
  2. Step 2: Convert to fraction form
    79.31/109.46 = 44.81/x
  3. Step 3: Cross multiply
    79.31x = 109.46 × 44.81
  4. Step 4: Simplify right side
    79.31x = 4,904.95
  5. Step 5: Solve for x
    x = 4,904.95/79.31
  6. Step 6: Final answer
    x = 61.84

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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.