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Finding the Fourth Proportional to 249.95, 373.29 and 209.41

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Solution

The fourth proportional to 249.95, 373.29 and 209.41 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 373.29 = 209.41 : x
  2. Step 2: Convert to fraction form
    249.95/373.29 = 209.41/x
  3. Step 3: Cross multiply
    249.95x = 373.29 × 209.41
  4. Step 4: Simplify right side
    249.95x = 78,167.75
  5. Step 5: Solve for x
    x = 78,167.75/249.95
  6. Step 6: Final answer
    x = 312.73

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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.