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Finding the Fourth Proportional to 225.18, 335.57 and 212.20

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Solution

The fourth proportional to 225.18, 335.57 and 212.20 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.18 : 335.57 = 212.20 : x
  2. Step 2: Convert to fraction form
    225.18/335.57 = 212.20/x
  3. Step 3: Cross multiply
    225.18x = 335.57 × 212.20
  4. Step 4: Simplify right side
    225.18x = 71,206.05
  5. Step 5: Solve for x
    x = 71,206.05/225.18
  6. Step 6: Final answer
    x = 316.22

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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.