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Finding the Fourth Proportional to 225.12, 335.28 and 212.64

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Solution

The fourth proportional to 225.12, 335.28 and 212.64 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 335.28 = 212.64 : x
  2. Step 2: Convert to fraction form
    225.12/335.28 = 212.64/x
  3. Step 3: Cross multiply
    225.12x = 335.28 × 212.64
  4. Step 4: Simplify right side
    225.12x = 71,293.94
  5. Step 5: Solve for x
    x = 71,293.94/225.12
  6. Step 6: Final answer
    x = 316.69

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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.