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Finding the Fourth Proportional to 225.26, 338.10 and 212.93

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Solution

The fourth proportional to 225.26, 338.10 and 212.93 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.26 : 338.10 = 212.93 : x
  2. Step 2: Convert to fraction form
    225.26/338.10 = 212.93/x
  3. Step 3: Cross multiply
    225.26x = 338.10 × 212.93
  4. Step 4: Simplify right side
    225.26x = 71,988.88
  5. Step 5: Solve for x
    x = 71,988.88/225.26
  6. Step 6: Final answer
    x = 319.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.