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Finding the Fourth Proportional to 116.65, 173.96 and 102.27

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Solution

The fourth proportional to 116.65, 173.96 and 102.27 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.65 : 173.96 = 102.27 : x
  2. Step 2: Convert to fraction form
    116.65/173.96 = 102.27/x
  3. Step 3: Cross multiply
    116.65x = 173.96 × 102.27
  4. Step 4: Simplify right side
    116.65x = 17,790.38
  5. Step 5: Solve for x
    x = 17,790.38/116.65
  6. Step 6: Final answer
    x = 152.51

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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.