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Finding the Fourth Proportional to 288.11, 397.22 and 209.54

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Solution

The fourth proportional to 288.11, 397.22 and 209.54 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 397.22 = 209.54 : x
  2. Step 2: Convert to fraction form
    288.11/397.22 = 209.54/x
  3. Step 3: Cross multiply
    288.11x = 397.22 × 209.54
  4. Step 4: Simplify right side
    288.11x = 83,230.45
  5. Step 5: Solve for x
    x = 83,230.45/288.11
  6. Step 6: Final answer
    x = 288.89

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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.