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Finding the Fourth Proportional to 377.45, 520.78 and 211.65

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Solution

The fourth proportional to 377.45, 520.78 and 211.65 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 520.78 = 211.65 : x
  2. Step 2: Convert to fraction form
    377.45/520.78 = 211.65/x
  3. Step 3: Cross multiply
    377.45x = 520.78 × 211.65
  4. Step 4: Simplify right side
    377.45x = 110,223.09
  5. Step 5: Solve for x
    x = 110,223.09/377.45
  6. Step 6: Final answer
    x = 292.02

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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.