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Finding the Fourth Proportional to 116.38, 173.24 and 114.65

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Solution

The fourth proportional to 116.38, 173.24 and 114.65 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 173.24 = 114.65 : x
  2. Step 2: Convert to fraction form
    116.38/173.24 = 114.65/x
  3. Step 3: Cross multiply
    116.38x = 173.24 × 114.65
  4. Step 4: Simplify right side
    116.38x = 19,862.47
  5. Step 5: Solve for x
    x = 19,862.47/116.38
  6. Step 6: Final answer
    x = 170.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.