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Finding the Fourth Proportional to 116.26, 173.95 and 98.91

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Solution

The fourth proportional to 116.26, 173.95 and 98.91 is: 147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.26 : 173.95 = 98.91 : x
  2. Step 2: Convert to fraction form
    116.26/173.95 = 98.91/x
  3. Step 3: Cross multiply
    116.26x = 173.95 × 98.91
  4. Step 4: Simplify right side
    116.26x = 17,205.15
  5. Step 5: Solve for x
    x = 17,205.15/116.26
  6. Step 6: Final answer
    x = 147.99

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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.