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Finding the Fourth Proportional to 343.74, 474.20 and 250.33

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Solution

The fourth proportional to 343.74, 474.20 and 250.33 is: 345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 474.20 = 250.33 : x
  2. Step 2: Convert to fraction form
    343.74/474.20 = 250.33/x
  3. Step 3: Cross multiply
    343.74x = 474.20 × 250.33
  4. Step 4: Simplify right side
    343.74x = 118,705.23
  5. Step 5: Solve for x
    x = 118,705.23/343.74
  6. Step 6: Final answer
    x = 345.34

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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.