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Finding the Fourth Proportional to 896.41, 1,344.18 and 280

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Solution

The fourth proportional to 896.41, 1,344.18 and 280 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.41 : 1,344.18 = 280 : x
  2. Step 2: Convert to fraction form
    896.41/1,344.18 = 280/x
  3. Step 3: Cross multiply
    896.41x = 1,344.18 × 280
  4. Step 4: Simplify right side
    896.41x = 376,370.40
  5. Step 5: Solve for x
    x = 376,370.40/896.41
  6. Step 6: Final answer
    x = 419.86

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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.