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Finding the Fourth Proportional to 343.86, 474.49 and 194.47

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Solution

The fourth proportional to 343.86, 474.49 and 194.47 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 474.49 = 194.47 : x
  2. Step 2: Convert to fraction form
    343.86/474.49 = 194.47/x
  3. Step 3: Cross multiply
    343.86x = 474.49 × 194.47
  4. Step 4: Simplify right side
    343.86x = 92,273.13
  5. Step 5: Solve for x
    x = 92,273.13/343.86
  6. Step 6: Final answer
    x = 268.34

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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.