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Finding the Fourth Proportional to 240.49, 359.92 and 209.71

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Solution

The fourth proportional to 240.49, 359.92 and 209.71 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.49 : 359.92 = 209.71 : x
  2. Step 2: Convert to fraction form
    240.49/359.92 = 209.71/x
  3. Step 3: Cross multiply
    240.49x = 359.92 × 209.71
  4. Step 4: Simplify right side
    240.49x = 75,478.82
  5. Step 5: Solve for x
    x = 75,478.82/240.49
  6. Step 6: Final answer
    x = 313.85

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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.