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Finding the Fourth Proportional to 219.13, 329.30 and 116.47

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Solution

The fourth proportional to 219.13, 329.30 and 116.47 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 329.30 = 116.47 : x
  2. Step 2: Convert to fraction form
    219.13/329.30 = 116.47/x
  3. Step 3: Cross multiply
    219.13x = 329.30 × 116.47
  4. Step 4: Simplify right side
    219.13x = 38,353.57
  5. Step 5: Solve for x
    x = 38,353.57/219.13
  6. Step 6: Final answer
    x = 175.03

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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.