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Finding the Fourth Proportional to 226, 311.91 and 148.42

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Solution

The fourth proportional to 226, 311.91 and 148.42 is: 204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226 : 311.91 = 148.42 : x
  2. Step 2: Convert to fraction form
    226/311.91 = 148.42/x
  3. Step 3: Cross multiply
    226x = 311.91 × 148.42
  4. Step 4: Simplify right side
    226x = 46,293.68
  5. Step 5: Solve for x
    x = 46,293.68/226
  6. Step 6: Final answer
    x = 204.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.