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Finding the Fourth Proportional to 342.38, 472.40 and 209.56

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Solution

The fourth proportional to 342.38, 472.40 and 209.56 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 472.40 = 209.56 : x
  2. Step 2: Convert to fraction form
    342.38/472.40 = 209.56/x
  3. Step 3: Cross multiply
    342.38x = 472.40 × 209.56
  4. Step 4: Simplify right side
    342.38x = 98,996.14
  5. Step 5: Solve for x
    x = 98,996.14/342.38
  6. Step 6: Final answer
    x = 289.14

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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.