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Finding the Fourth Proportional to 288, 431.28 and 191.52

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Solution

The fourth proportional to 288, 431.28 and 191.52 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 431.28 = 191.52 : x
  2. Step 2: Convert to fraction form
    288/431.28 = 191.52/x
  3. Step 3: Cross multiply
    288x = 431.28 × 191.52
  4. Step 4: Simplify right side
    288x = 82,598.75
  5. Step 5: Solve for x
    x = 82,598.75/288
  6. Step 6: Final answer
    x = 286.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.