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Finding the Fourth Proportional to 116.80, 175.15 and 43.62

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Solution

The fourth proportional to 116.80, 175.15 and 43.62 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 175.15 = 43.62 : x
  2. Step 2: Convert to fraction form
    116.80/175.15 = 43.62/x
  3. Step 3: Cross multiply
    116.80x = 175.15 × 43.62
  4. Step 4: Simplify right side
    116.80x = 7,640.04
  5. Step 5: Solve for x
    x = 7,640.04/116.80
  6. Step 6: Final answer
    x = 65.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.