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Finding the Fourth Proportional to 342.09, 472.14 and 209.39

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Solution

The fourth proportional to 342.09, 472.14 and 209.39 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 472.14 = 209.39 : x
  2. Step 2: Convert to fraction form
    342.09/472.14 = 209.39/x
  3. Step 3: Cross multiply
    342.09x = 472.14 × 209.39
  4. Step 4: Simplify right side
    342.09x = 98,859.03
  5. Step 5: Solve for x
    x = 98,859.03/342.09
  6. Step 6: Final answer
    x = 288.99

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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.