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Finding the Fourth Proportional to 243.11, 362.90 and 209.09

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Solution

The fourth proportional to 243.11, 362.90 and 209.09 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 362.90 = 209.09 : x
  2. Step 2: Convert to fraction form
    243.11/362.90 = 209.09/x
  3. Step 3: Cross multiply
    243.11x = 362.90 × 209.09
  4. Step 4: Simplify right side
    243.11x = 75,875.90
  5. Step 5: Solve for x
    x = 75,875.90/243.11
  6. Step 6: Final answer
    x = 312.11

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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.