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Finding the Fourth Proportional to 225.05, 339.29 and 209.39

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Solution

The fourth proportional to 225.05, 339.29 and 209.39 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 339.29 = 209.39 : x
  2. Step 2: Convert to fraction form
    225.05/339.29 = 209.39/x
  3. Step 3: Cross multiply
    225.05x = 339.29 × 209.39
  4. Step 4: Simplify right side
    225.05x = 71,041.19
  5. Step 5: Solve for x
    x = 71,041.19/225.05
  6. Step 6: Final answer
    x = 315.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.