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Finding the Fourth Proportional to 896.10, 1,344.20 and 311.16

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Solution

The fourth proportional to 896.10, 1,344.20 and 311.16 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.10 : 1,344.20 = 311.16 : x
  2. Step 2: Convert to fraction form
    896.10/1,344.20 = 311.16/x
  3. Step 3: Cross multiply
    896.10x = 1,344.20 × 311.16
  4. Step 4: Simplify right side
    896.10x = 418,259.72
  5. Step 5: Solve for x
    x = 418,259.72/896.10
  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.