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Finding the Fourth Proportional to 114.89, 171.83 and 98.79

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Solution

The fourth proportional to 114.89, 171.83 and 98.79 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 171.83 = 98.79 : x
  2. Step 2: Convert to fraction form
    114.89/171.83 = 98.79/x
  3. Step 3: Cross multiply
    114.89x = 171.83 × 98.79
  4. Step 4: Simplify right side
    114.89x = 16,974.59
  5. Step 5: Solve for x
    x = 16,974.59/114.89
  6. Step 6: Final answer
    x = 147.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.