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Finding the Fourth Proportional to 234.29, 322.79 and 185.09

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Solution

The fourth proportional to 234.29, 322.79 and 185.09 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 322.79 = 185.09 : x
  2. Step 2: Convert to fraction form
    234.29/322.79 = 185.09/x
  3. Step 3: Cross multiply
    234.29x = 322.79 × 185.09
  4. Step 4: Simplify right side
    234.29x = 59,742.66
  5. Step 5: Solve for x
    x = 59,742.66/234.29
  6. Step 6: Final answer
    x = 254.99

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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.