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Finding the Fourth Proportional to 288.39, 397.61 and 209.45

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Solution

The fourth proportional to 288.39, 397.61 and 209.45 is: 288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.39 : 397.61 = 209.45 : x
  2. Step 2: Convert to fraction form
    288.39/397.61 = 209.45/x
  3. Step 3: Cross multiply
    288.39x = 397.61 × 209.45
  4. Step 4: Simplify right side
    288.39x = 83,280.99
  5. Step 5: Solve for x
    x = 83,280.99/288.39
  6. Step 6: Final answer
    x = 288.78

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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.