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Finding the Fourth Proportional to 343.22, 474.05 and 249.81

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Solution

The fourth proportional to 343.22, 474.05 and 249.81 is: 345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.22 : 474.05 = 249.81 : x
  2. Step 2: Convert to fraction form
    343.22/474.05 = 249.81/x
  3. Step 3: Cross multiply
    343.22x = 474.05 × 249.81
  4. Step 4: Simplify right side
    343.22x = 118,422.43
  5. Step 5: Solve for x
    x = 118,422.43/343.22
  6. Step 6: Final answer
    x = 345.04

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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.