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Finding the Fourth Proportional to 249.42, 344.16 and 209.94

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Solution

The fourth proportional to 249.42, 344.16 and 209.94 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 344.16 = 209.94 : x
  2. Step 2: Convert to fraction form
    249.42/344.16 = 209.94/x
  3. Step 3: Cross multiply
    249.42x = 344.16 × 209.94
  4. Step 4: Simplify right side
    249.42x = 72,252.95
  5. Step 5: Solve for x
    x = 72,252.95/249.42
  6. Step 6: Final answer
    x = 289.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.