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Finding the Fourth Proportional to 377.89, 521.49 and 212.11

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Solution

The fourth proportional to 377.89, 521.49 and 212.11 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.89 : 521.49 = 212.11 : x
  2. Step 2: Convert to fraction form
    377.89/521.49 = 212.11/x
  3. Step 3: Cross multiply
    377.89x = 521.49 × 212.11
  4. Step 4: Simplify right side
    377.89x = 110,615.08
  5. Step 5: Solve for x
    x = 110,615.08/377.89
  6. Step 6: Final answer
    x = 292.72

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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.