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Finding the Fourth Proportional to 116.80, 173.70 and 115.58

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Solution

The fourth proportional to 116.80, 173.70 and 115.58 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 173.70 = 115.58 : x
  2. Step 2: Convert to fraction form
    116.80/173.70 = 115.58/x
  3. Step 3: Cross multiply
    116.80x = 173.70 × 115.58
  4. Step 4: Simplify right side
    116.80x = 20,076.25
  5. Step 5: Solve for x
    x = 20,076.25/116.80
  6. Step 6: Final answer
    x = 171.89

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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.