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Finding the Fourth Proportional to 288, 397.44 and 232.38

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Solution

The fourth proportional to 288, 397.44 and 232.38 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 397.44 = 232.38 : x
  2. Step 2: Convert to fraction form
    288/397.44 = 232.38/x
  3. Step 3: Cross multiply
    288x = 397.44 × 232.38
  4. Step 4: Simplify right side
    288x = 92,357.11
  5. Step 5: Solve for x
    x = 92,357.11/288
  6. Step 6: Final answer
    x = 320.68

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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.