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Finding the Fourth Proportional to 342.13, 471.94 and 209.38

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Solution

The fourth proportional to 342.13, 471.94 and 209.38 is: 288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.13 : 471.94 = 209.38 : x
  2. Step 2: Convert to fraction form
    342.13/471.94 = 209.38/x
  3. Step 3: Cross multiply
    342.13x = 471.94 × 209.38
  4. Step 4: Simplify right side
    342.13x = 98,812.44
  5. Step 5: Solve for x
    x = 98,812.44/342.13
  6. Step 6: Final answer
    x = 288.82

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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.