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Finding the Fourth Proportional to 116.60, 173.42 and 116.19

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Solution

The fourth proportional to 116.60, 173.42 and 116.19 is: 172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 173.42 = 116.19 : x
  2. Step 2: Convert to fraction form
    116.60/173.42 = 116.19/x
  3. Step 3: Cross multiply
    116.60x = 173.42 × 116.19
  4. Step 4: Simplify right side
    116.60x = 20,149.52
  5. Step 5: Solve for x
    x = 20,149.52/116.60
  6. Step 6: Final answer
    x = 172.82

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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.