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Finding the Fourth Proportional to 113.88, 169.78 and 106.99

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Solution

The fourth proportional to 113.88, 169.78 and 106.99 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.88 : 169.78 = 106.99 : x
  2. Step 2: Convert to fraction form
    113.88/169.78 = 106.99/x
  3. Step 3: Cross multiply
    113.88x = 169.78 × 106.99
  4. Step 4: Simplify right side
    113.88x = 18,164.23
  5. Step 5: Solve for x
    x = 18,164.23/113.88
  6. Step 6: Final answer
    x = 159.51

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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.