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Finding the Fourth Proportional to 381.96, 527.01 and 293.52

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Solution

The fourth proportional to 381.96, 527.01 and 293.52 is: 404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 527.01 = 293.52 : x
  2. Step 2: Convert to fraction form
    381.96/527.01 = 293.52/x
  3. Step 3: Cross multiply
    381.96x = 527.01 × 293.52
  4. Step 4: Simplify right side
    381.96x = 154,687.98
  5. Step 5: Solve for x
    x = 154,687.98/381.96
  6. Step 6: Final answer
    x = 404.98

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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.