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Finding the Fourth Proportional to 243.20, 329.40 and 243.20

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Solution

The fourth proportional to 243.20, 329.40 and 243.20 is: 329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 329.40 = 243.20 : x
  2. Step 2: Convert to fraction form
    243.20/329.40 = 243.20/x
  3. Step 3: Cross multiply
    243.20x = 329.40 × 243.20
  4. Step 4: Simplify right side
    243.20x = 80,110.08
  5. Step 5: Solve for x
    x = 80,110.08/243.20
  6. Step 6: Final answer
    x = 329.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.