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Finding the Fourth Proportional to 238.55, 330.89 and 232.23

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Solution

The fourth proportional to 238.55, 330.89 and 232.23 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.55 : 330.89 = 232.23 : x
  2. Step 2: Convert to fraction form
    238.55/330.89 = 232.23/x
  3. Step 3: Cross multiply
    238.55x = 330.89 × 232.23
  4. Step 4: Simplify right side
    238.55x = 76,841.42
  5. Step 5: Solve for x
    x = 76,841.42/238.55
  6. Step 6: Final answer
    x = 322.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.