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Finding the Fourth Proportional to 859.14, 1,288.42 and 311.20

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Solution

The fourth proportional to 859.14, 1,288.42 and 311.20 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.14 : 1,288.42 = 311.20 : x
  2. Step 2: Convert to fraction form
    859.14/1,288.42 = 311.20/x
  3. Step 3: Cross multiply
    859.14x = 1,288.42 × 311.20
  4. Step 4: Simplify right side
    859.14x = 400,952.30
  5. Step 5: Solve for x
    x = 400,952.30/859.14
  6. Step 6: Final answer
    x = 466.69

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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.