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Finding the Fourth Proportional to 287.20, 431.12 and 256.96

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Solution

The fourth proportional to 287.20, 431.12 and 256.96 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.20 : 431.12 = 256.96 : x
  2. Step 2: Convert to fraction form
    287.20/431.12 = 256.96/x
  3. Step 3: Cross multiply
    287.20x = 431.12 × 256.96
  4. Step 4: Simplify right side
    287.20x = 110,780.60
  5. Step 5: Solve for x
    x = 110,780.60/287.20
  6. Step 6: Final answer
    x = 385.73

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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.