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Finding the Fourth Proportional to 243.20, 363.25 and 209.06

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Solution

The fourth proportional to 243.20, 363.25 and 209.06 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 363.25 = 209.06 : x
  2. Step 2: Convert to fraction form
    243.20/363.25 = 209.06/x
  3. Step 3: Cross multiply
    243.20x = 363.25 × 209.06
  4. Step 4: Simplify right side
    243.20x = 75,941.05
  5. Step 5: Solve for x
    x = 75,941.05/243.20
  6. Step 6: Final answer
    x = 312.26

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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.