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Finding the Fourth Proportional to 381.34, 524.23 and 327.98

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Solution

The fourth proportional to 381.34, 524.23 and 327.98 is: 450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 524.23 = 327.98 : x
  2. Step 2: Convert to fraction form
    381.34/524.23 = 327.98/x
  3. Step 3: Cross multiply
    381.34x = 524.23 × 327.98
  4. Step 4: Simplify right side
    381.34x = 171,935.74
  5. Step 5: Solve for x
    x = 171,935.74/381.34
  6. Step 6: Final answer
    x = 450.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.