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Finding the Fourth Proportional to 243.24, 363.19 and 209.04

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Solution

The fourth proportional to 243.24, 363.19 and 209.04 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.24 : 363.19 = 209.04 : x
  2. Step 2: Convert to fraction form
    243.24/363.19 = 209.04/x
  3. Step 3: Cross multiply
    243.24x = 363.19 × 209.04
  4. Step 4: Simplify right side
    243.24x = 75,921.24
  5. Step 5: Solve for x
    x = 75,921.24/243.24
  6. Step 6: Final answer
    x = 312.12

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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.