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Finding the Fourth Proportional to 342.13, 472 and 209.30

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Solution

The fourth proportional to 342.13, 472 and 209.30 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.13 : 472 = 209.30 : x
  2. Step 2: Convert to fraction form
    342.13/472 = 209.30/x
  3. Step 3: Cross multiply
    342.13x = 472 × 209.30
  4. Step 4: Simplify right side
    342.13x = 98,789.60
  5. Step 5: Solve for x
    x = 98,789.60/342.13
  6. Step 6: Final answer
    x = 288.75

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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.