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Finding the Fourth Proportional to 377.53, 520.99 and 211.78

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Solution

The fourth proportional to 377.53, 520.99 and 211.78 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.53 : 520.99 = 211.78 : x
  2. Step 2: Convert to fraction form
    377.53/520.99 = 211.78/x
  3. Step 3: Cross multiply
    377.53x = 520.99 × 211.78
  4. Step 4: Simplify right side
    377.53x = 110,333.43
  5. Step 5: Solve for x
    x = 110,333.43/377.53
  6. Step 6: Final answer
    x = 292.25

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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.