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Finding the Fourth Proportional to 225.48, 338.14 and 79.19

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Solution

The fourth proportional to 225.48, 338.14 and 79.19 is: 118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.48 : 338.14 = 79.19 : x
  2. Step 2: Convert to fraction form
    225.48/338.14 = 79.19/x
  3. Step 3: Cross multiply
    225.48x = 338.14 × 79.19
  4. Step 4: Simplify right side
    225.48x = 26,777.31
  5. Step 5: Solve for x
    x = 26,777.31/225.48
  6. Step 6: Final answer
    x = 118.76

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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.