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Finding the Fourth Proportional to 112.49, 153.27 and 109.98

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Solution

The fourth proportional to 112.49, 153.27 and 109.98 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 153.27 = 109.98 : x
  2. Step 2: Convert to fraction form
    112.49/153.27 = 109.98/x
  3. Step 3: Cross multiply
    112.49x = 153.27 × 109.98
  4. Step 4: Simplify right side
    112.49x = 16,856.76
  5. Step 5: Solve for x
    x = 16,856.76/112.49
  6. Step 6: Final answer
    x = 149.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.