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Finding the Fourth Proportional to 288, 397.17 and 189.72

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Solution

The fourth proportional to 288, 397.17 and 189.72 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 397.17 = 189.72 : x
  2. Step 2: Convert to fraction form
    288/397.17 = 189.72/x
  3. Step 3: Cross multiply
    288x = 397.17 × 189.72
  4. Step 4: Simplify right side
    288x = 75,351.09
  5. Step 5: Solve for x
    x = 75,351.09/288
  6. Step 6: Final answer
    x = 261.64

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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.