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Finding the Fourth Proportional to 116.38, 173.80 and 102.70

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Solution

The fourth proportional to 116.38, 173.80 and 102.70 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 173.80 = 102.70 : x
  2. Step 2: Convert to fraction form
    116.38/173.80 = 102.70/x
  3. Step 3: Cross multiply
    116.38x = 173.80 × 102.70
  4. Step 4: Simplify right side
    116.38x = 17,849.26
  5. Step 5: Solve for x
    x = 17,849.26/116.38
  6. Step 6: Final answer
    x = 153.37

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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.