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Finding the Fourth Proportional to 110.56, 151.75 and 98.65

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Solution

The fourth proportional to 110.56, 151.75 and 98.65 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 151.75 = 98.65 : x
  2. Step 2: Convert to fraction form
    110.56/151.75 = 98.65/x
  3. Step 3: Cross multiply
    110.56x = 151.75 × 98.65
  4. Step 4: Simplify right side
    110.56x = 14,969.38
  5. Step 5: Solve for x
    x = 14,969.38/110.56
  6. Step 6: Final answer
    x = 135.40

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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.