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Finding the Fourth Proportional to 377, 520.26 and 221.78

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Solution

The fourth proportional to 377, 520.26 and 221.78 is: 306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 520.26 = 221.78 : x
  2. Step 2: Convert to fraction form
    377/520.26 = 221.78/x
  3. Step 3: Cross multiply
    377x = 520.26 × 221.78
  4. Step 4: Simplify right side
    377x = 115,383.26
  5. Step 5: Solve for x
    x = 115,383.26/377
  6. Step 6: Final answer
    x = 306.06

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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.