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Finding the Fourth Proportional to 234.77, 322.04 and 232.61

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Solution

The fourth proportional to 234.77, 322.04 and 232.61 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 322.04 = 232.61 : x
  2. Step 2: Convert to fraction form
    234.77/322.04 = 232.61/x
  3. Step 3: Cross multiply
    234.77x = 322.04 × 232.61
  4. Step 4: Simplify right side
    234.77x = 74,908.70
  5. Step 5: Solve for x
    x = 74,908.70/234.77
  6. Step 6: Final answer
    x = 319.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.