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Finding the Fourth Proportional to 113.88, 169.33 and 112.80

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Solution

The fourth proportional to 113.88, 169.33 and 112.80 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.88 : 169.33 = 112.80 : x
  2. Step 2: Convert to fraction form
    113.88/169.33 = 112.80/x
  3. Step 3: Cross multiply
    113.88x = 169.33 × 112.80
  4. Step 4: Simplify right side
    113.88x = 19,100.42
  5. Step 5: Solve for x
    x = 19,100.42/113.88
  6. Step 6: Final answer
    x = 167.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.