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Finding the Fourth Proportional to 802, 1,203.20 and 224.88

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Solution

The fourth proportional to 802, 1,203.20 and 224.88 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,203.20 = 224.88 : x
  2. Step 2: Convert to fraction form
    802/1,203.20 = 224.88/x
  3. Step 3: Cross multiply
    802x = 1,203.20 × 224.88
  4. Step 4: Simplify right side
    802x = 270,570.16
  5. Step 5: Solve for x
    x = 270,570.16/802
  6. Step 6: Final answer
    x = 337.37

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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.