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Finding the Fourth Proportional to 110.95, 152.98 and 98.65

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Solution

The fourth proportional to 110.95, 152.98 and 98.65 is: 136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.95 : 152.98 = 98.65 : x
  2. Step 2: Convert to fraction form
    110.95/152.98 = 98.65/x
  3. Step 3: Cross multiply
    110.95x = 152.98 × 98.65
  4. Step 4: Simplify right side
    110.95x = 15,091.48
  5. Step 5: Solve for x
    x = 15,091.48/110.95
  6. Step 6: Final answer
    x = 136.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.