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Finding the Fourth Proportional to 381.89, 527.24 and 312.11

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Solution

The fourth proportional to 381.89, 527.24 and 312.11 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 527.24 = 312.11 : x
  2. Step 2: Convert to fraction form
    381.89/527.24 = 312.11/x
  3. Step 3: Cross multiply
    381.89x = 527.24 × 312.11
  4. Step 4: Simplify right side
    381.89x = 164,558.97
  5. Step 5: Solve for x
    x = 164,558.97/381.89
  6. Step 6: Final answer
    x = 430.91

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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.