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Finding the Fourth Proportional to 116.20, 175.21 and 101.80

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Solution

The fourth proportional to 116.20, 175.21 and 101.80 is: 153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 175.21 = 101.80 : x
  2. Step 2: Convert to fraction form
    116.20/175.21 = 101.80/x
  3. Step 3: Cross multiply
    116.20x = 175.21 × 101.80
  4. Step 4: Simplify right side
    116.20x = 17,836.38
  5. Step 5: Solve for x
    x = 17,836.38/116.20
  6. Step 6: Final answer
    x = 153.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.