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Finding the Fourth Proportional to 225.91, 311.89 and 148.42

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Solution

The fourth proportional to 225.91, 311.89 and 148.42 is: 204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.91 : 311.89 = 148.42 : x
  2. Step 2: Convert to fraction form
    225.91/311.89 = 148.42/x
  3. Step 3: Cross multiply
    225.91x = 311.89 × 148.42
  4. Step 4: Simplify right side
    225.91x = 46,289.97
  5. Step 5: Solve for x
    x = 46,289.97/225.91
  6. Step 6: Final answer
    x = 204.90

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