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Finding the Fourth Proportional to 247.69, 373.01 and 209.42

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Solution

The fourth proportional to 247.69, 373.01 and 209.42 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 373.01 = 209.42 : x
  2. Step 2: Convert to fraction form
    247.69/373.01 = 209.42/x
  3. Step 3: Cross multiply
    247.69x = 373.01 × 209.42
  4. Step 4: Simplify right side
    247.69x = 78,115.75
  5. Step 5: Solve for x
    x = 78,115.75/247.69
  6. Step 6: Final answer
    x = 315.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.