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Finding the Fourth Proportional to 377, 520.33 and 219.73

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Solution

The fourth proportional to 377, 520.33 and 219.73 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 520.33 = 219.73 : x
  2. Step 2: Convert to fraction form
    377/520.33 = 219.73/x
  3. Step 3: Cross multiply
    377x = 520.33 × 219.73
  4. Step 4: Simplify right side
    377x = 114,332.11
  5. Step 5: Solve for x
    x = 114,332.11/377
  6. Step 6: Final answer
    x = 303.27

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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.