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Finding the Fourth Proportional to 322.82, 444.85 and 234.15

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Solution

The fourth proportional to 322.82, 444.85 and 234.15 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.82 : 444.85 = 234.15 : x
  2. Step 2: Convert to fraction form
    322.82/444.85 = 234.15/x
  3. Step 3: Cross multiply
    322.82x = 444.85 × 234.15
  4. Step 4: Simplify right side
    322.82x = 104,160.46
  5. Step 5: Solve for x
    x = 104,160.46/322.82
  6. Step 6: Final answer
    x = 322.66

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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.