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Finding the Fourth Proportional to 859.21, 1,288.82 and 311.18

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Solution

The fourth proportional to 859.21, 1,288.82 and 311.18 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.21 : 1,288.82 = 311.18 : x
  2. Step 2: Convert to fraction form
    859.21/1,288.82 = 311.18/x
  3. Step 3: Cross multiply
    859.21x = 1,288.82 × 311.18
  4. Step 4: Simplify right side
    859.21x = 401,047.01
  5. Step 5: Solve for x
    x = 401,047.01/859.21
  6. Step 6: Final answer
    x = 466.76

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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.