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Finding the Fourth Proportional to 381.77, 527.25 and 376.64

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Solution

The fourth proportional to 381.77, 527.25 and 376.64 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.77 : 527.25 = 376.64 : x
  2. Step 2: Convert to fraction form
    381.77/527.25 = 376.64/x
  3. Step 3: Cross multiply
    381.77x = 527.25 × 376.64
  4. Step 4: Simplify right side
    381.77x = 198,580.80
  5. Step 5: Solve for x
    x = 198,580.80/381.77
  6. Step 6: Final answer
    x = 520.17

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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.