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Finding the Fourth Proportional to 235.29, 322.33 and 232.66

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Solution

The fourth proportional to 235.29, 322.33 and 232.66 is: 318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.29 : 322.33 = 232.66 : x
  2. Step 2: Convert to fraction form
    235.29/322.33 = 232.66/x
  3. Step 3: Cross multiply
    235.29x = 322.33 × 232.66
  4. Step 4: Simplify right side
    235.29x = 74,993.30
  5. Step 5: Solve for x
    x = 74,993.30/235.29
  6. Step 6: Final answer
    x = 318.73

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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.