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Finding the Fourth Proportional to 343.78, 474.22 and 233.30

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Solution

The fourth proportional to 343.78, 474.22 and 233.30 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.78 : 474.22 = 233.30 : x
  2. Step 2: Convert to fraction form
    343.78/474.22 = 233.30/x
  3. Step 3: Cross multiply
    343.78x = 474.22 × 233.30
  4. Step 4: Simplify right side
    343.78x = 110,635.53
  5. Step 5: Solve for x
    x = 110,635.53/343.78
  6. Step 6: Final answer
    x = 321.82

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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.