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Finding the Fourth Proportional to 331.15, 496.86 and 148.42

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Solution

The fourth proportional to 331.15, 496.86 and 148.42 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.15 : 496.86 = 148.42 : x
  2. Step 2: Convert to fraction form
    331.15/496.86 = 148.42/x
  3. Step 3: Cross multiply
    331.15x = 496.86 × 148.42
  4. Step 4: Simplify right side
    331.15x = 73,743.96
  5. Step 5: Solve for x
    x = 73,743.96/331.15
  6. Step 6: Final answer
    x = 222.69

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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.