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Finding the Fourth Proportional to 381.82, 527.05 and 298.95

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Solution

The fourth proportional to 381.82, 527.05 and 298.95 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.82 : 527.05 = 298.95 : x
  2. Step 2: Convert to fraction form
    381.82/527.05 = 298.95/x
  3. Step 3: Cross multiply
    381.82x = 527.05 × 298.95
  4. Step 4: Simplify right side
    381.82x = 157,561.60
  5. Step 5: Solve for x
    x = 157,561.60/381.82
  6. Step 6: Final answer
    x = 412.66

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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.