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Finding the Fourth Proportional to 233.28, 322.17 and 181.44

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Solution

The fourth proportional to 233.28, 322.17 and 181.44 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 322.17 = 181.44 : x
  2. Step 2: Convert to fraction form
    233.28/322.17 = 181.44/x
  3. Step 3: Cross multiply
    233.28x = 322.17 × 181.44
  4. Step 4: Simplify right side
    233.28x = 58,456.01
  5. Step 5: Solve for x
    x = 58,456.01/233.28
  6. Step 6: Final answer
    x = 250.59

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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.