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Finding the Fourth Proportional to 288.30, 398.19 and 209.97

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Solution

The fourth proportional to 288.30, 398.19 and 209.97 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 398.19 = 209.97 : x
  2. Step 2: Convert to fraction form
    288.30/398.19 = 209.97/x
  3. Step 3: Cross multiply
    288.30x = 398.19 × 209.97
  4. Step 4: Simplify right side
    288.30x = 83,604.91
  5. Step 5: Solve for x
    x = 83,604.91/288.30
  6. Step 6: Final answer
    x = 289.99

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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.