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Finding the Fourth Proportional to 859.20, 1,288.68 and 282

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Solution

The fourth proportional to 859.20, 1,288.68 and 282 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,288.68 = 282 : x
  2. Step 2: Convert to fraction form
    859.20/1,288.68 = 282/x
  3. Step 3: Cross multiply
    859.20x = 1,288.68 × 282
  4. Step 4: Simplify right side
    859.20x = 363,407.76
  5. Step 5: Solve for x
    x = 363,407.76/859.20
  6. Step 6: Final answer
    x = 422.96

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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.