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Finding the Fourth Proportional to 113.99, 170.60 and 98.15

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Solution

The fourth proportional to 113.99, 170.60 and 98.15 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 170.60 = 98.15 : x
  2. Step 2: Convert to fraction form
    113.99/170.60 = 98.15/x
  3. Step 3: Cross multiply
    113.99x = 170.60 × 98.15
  4. Step 4: Simplify right side
    113.99x = 16,743.78
  5. Step 5: Solve for x
    x = 16,743.78/113.99
  6. Step 6: Final answer
    x = 146.89

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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.