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Finding the Fourth Proportional to 242.85, 363.15 and 209.01

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Solution

The fourth proportional to 242.85, 363.15 and 209.01 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.85 : 363.15 = 209.01 : x
  2. Step 2: Convert to fraction form
    242.85/363.15 = 209.01/x
  3. Step 3: Cross multiply
    242.85x = 363.15 × 209.01
  4. Step 4: Simplify right side
    242.85x = 75,901.98
  5. Step 5: Solve for x
    x = 75,901.98/242.85
  6. Step 6: Final answer
    x = 312.55

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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.