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Finding the Fourth Proportional to 225.24, 335.72 and 224.88

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Solution

The fourth proportional to 225.24, 335.72 and 224.88 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 335.72 = 224.88 : x
  2. Step 2: Convert to fraction form
    225.24/335.72 = 224.88/x
  3. Step 3: Cross multiply
    225.24x = 335.72 × 224.88
  4. Step 4: Simplify right side
    225.24x = 75,496.71
  5. Step 5: Solve for x
    x = 75,496.71/225.24
  6. Step 6: Final answer
    x = 335.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.