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Finding the Fourth Proportional to 343.74, 473.94 and 238.92

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Solution

The fourth proportional to 343.74, 473.94 and 238.92 is: 329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 473.94 = 238.92 : x
  2. Step 2: Convert to fraction form
    343.74/473.94 = 238.92/x
  3. Step 3: Cross multiply
    343.74x = 473.94 × 238.92
  4. Step 4: Simplify right side
    343.74x = 113,231.97
  5. Step 5: Solve for x
    x = 113,231.97/343.74
  6. Step 6: Final answer
    x = 329.41

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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.