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Finding the Fourth Proportional to 225.17, 335.96 and 209.46

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Solution

The fourth proportional to 225.17, 335.96 and 209.46 is: 312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.17 : 335.96 = 209.46 : x
  2. Step 2: Convert to fraction form
    225.17/335.96 = 209.46/x
  3. Step 3: Cross multiply
    225.17x = 335.96 × 209.46
  4. Step 4: Simplify right side
    225.17x = 70,370.71
  5. Step 5: Solve for x
    x = 70,370.71/225.17
  6. Step 6: Final answer
    x = 312.53

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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.