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Finding the Fourth Proportional to 331.78, 457.89 and 191.94

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Solution

The fourth proportional to 331.78, 457.89 and 191.94 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 457.89 = 191.94 : x
  2. Step 2: Convert to fraction form
    331.78/457.89 = 191.94/x
  3. Step 3: Cross multiply
    331.78x = 457.89 × 191.94
  4. Step 4: Simplify right side
    331.78x = 87,885.83
  5. Step 5: Solve for x
    x = 87,885.83/331.78
  6. Step 6: Final answer
    x = 264.89

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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.