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Finding the Fourth Proportional to 377.61, 521.13 and 211.84

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Solution

The fourth proportional to 377.61, 521.13 and 211.84 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.61 : 521.13 = 211.84 : x
  2. Step 2: Convert to fraction form
    377.61/521.13 = 211.84/x
  3. Step 3: Cross multiply
    377.61x = 521.13 × 211.84
  4. Step 4: Simplify right side
    377.61x = 110,397.14
  5. Step 5: Solve for x
    x = 110,397.14/377.61
  6. Step 6: Final answer
    x = 292.36

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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.