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Finding the Fourth Proportional to 343.71, 474.15 and 203.76

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Solution

The fourth proportional to 343.71, 474.15 and 203.76 is: 281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 474.15 = 203.76 : x
  2. Step 2: Convert to fraction form
    343.71/474.15 = 203.76/x
  3. Step 3: Cross multiply
    343.71x = 474.15 × 203.76
  4. Step 4: Simplify right side
    343.71x = 96,611.85
  5. Step 5: Solve for x
    x = 96,611.85/343.71
  6. Step 6: Final answer
    x = 281.09

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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.