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Finding the Fourth Proportional to 256.10, 353.09 and 209.42

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Solution

The fourth proportional to 256.10, 353.09 and 209.42 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 353.09 = 209.42 : x
  2. Step 2: Convert to fraction form
    256.10/353.09 = 209.42/x
  3. Step 3: Cross multiply
    256.10x = 353.09 × 209.42
  4. Step 4: Simplify right side
    256.10x = 73,944.11
  5. Step 5: Solve for x
    x = 73,944.11/256.10
  6. Step 6: Final answer
    x = 288.73

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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.