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Finding the Fourth Proportional to 342.92, 472.02 and 255.40

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Solution

The fourth proportional to 342.92, 472.02 and 255.40 is: 351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.92 : 472.02 = 255.40 : x
  2. Step 2: Convert to fraction form
    342.92/472.02 = 255.40/x
  3. Step 3: Cross multiply
    342.92x = 472.02 × 255.40
  4. Step 4: Simplify right side
    342.92x = 120,553.91
  5. Step 5: Solve for x
    x = 120,553.91/342.92
  6. Step 6: Final answer
    x = 351.55

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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.