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Finding the Fourth Proportional to 342.13, 472.12 and 198.42

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Solution

The fourth proportional to 342.13, 472.12 and 198.42 is: 273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.13 : 472.12 = 198.42 : x
  2. Step 2: Convert to fraction form
    342.13/472.12 = 198.42/x
  3. Step 3: Cross multiply
    342.13x = 472.12 × 198.42
  4. Step 4: Simplify right side
    342.13x = 93,678.05
  5. Step 5: Solve for x
    x = 93,678.05/342.13
  6. Step 6: Final answer
    x = 273.81

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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.