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Finding the Fourth Proportional to 376.94, 520.36 and 221.66

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Solution

The fourth proportional to 376.94, 520.36 and 221.66 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.94 : 520.36 = 221.66 : x
  2. Step 2: Convert to fraction form
    376.94/520.36 = 221.66/x
  3. Step 3: Cross multiply
    376.94x = 520.36 × 221.66
  4. Step 4: Simplify right side
    376.94x = 115,343.00
  5. Step 5: Solve for x
    x = 115,343.00/376.94
  6. Step 6: Final answer
    x = 306.00

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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.