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Finding the Fourth Proportional to 113.84, 171.06 and 112.88

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Solution

The fourth proportional to 113.84, 171.06 and 112.88 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 171.06 = 112.88 : x
  2. Step 2: Convert to fraction form
    113.84/171.06 = 112.88/x
  3. Step 3: Cross multiply
    113.84x = 171.06 × 112.88
  4. Step 4: Simplify right side
    113.84x = 19,309.25
  5. Step 5: Solve for x
    x = 19,309.25/113.84
  6. Step 6: Final answer
    x = 169.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.