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Finding the Fourth Proportional to 377.20, 520.52 and 211.42

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Solution

The fourth proportional to 377.20, 520.52 and 211.42 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.20 : 520.52 = 211.42 : x
  2. Step 2: Convert to fraction form
    377.20/520.52 = 211.42/x
  3. Step 3: Cross multiply
    377.20x = 520.52 × 211.42
  4. Step 4: Simplify right side
    377.20x = 110,048.34
  5. Step 5: Solve for x
    x = 110,048.34/377.20
  6. Step 6: Final answer
    x = 291.75

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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.