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Finding the Fourth Proportional to 236.78, 328.02 and 231.11

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Solution

The fourth proportional to 236.78, 328.02 and 231.11 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 328.02 = 231.11 : x
  2. Step 2: Convert to fraction form
    236.78/328.02 = 231.11/x
  3. Step 3: Cross multiply
    236.78x = 328.02 × 231.11
  4. Step 4: Simplify right side
    236.78x = 75,808.73
  5. Step 5: Solve for x
    x = 75,808.73/236.78
  6. Step 6: Final answer
    x = 320.17

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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.