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Finding the Fourth Proportional to 112.80, 154.77 and 108.96

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Solution

The fourth proportional to 112.80, 154.77 and 108.96 is: 149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 154.77 = 108.96 : x
  2. Step 2: Convert to fraction form
    112.80/154.77 = 108.96/x
  3. Step 3: Cross multiply
    112.80x = 154.77 × 108.96
  4. Step 4: Simplify right side
    112.80x = 16,863.74
  5. Step 5: Solve for x
    x = 16,863.74/112.80
  6. Step 6: Final answer
    x = 149.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.