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Finding the Fourth Proportional to 342.80, 472.68 and 263.94

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Solution

The fourth proportional to 342.80, 472.68 and 263.94 is: 363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.80 : 472.68 = 263.94 : x
  2. Step 2: Convert to fraction form
    342.80/472.68 = 263.94/x
  3. Step 3: Cross multiply
    342.80x = 472.68 × 263.94
  4. Step 4: Simplify right side
    342.80x = 124,760.15
  5. Step 5: Solve for x
    x = 124,760.15/342.80
  6. Step 6: Final answer
    x = 363.95

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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.