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Finding the Fourth Proportional to 351.78, 485.25 and 211.80

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Solution

The fourth proportional to 351.78, 485.25 and 211.80 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 485.25 = 211.80 : x
  2. Step 2: Convert to fraction form
    351.78/485.25 = 211.80/x
  3. Step 3: Cross multiply
    351.78x = 485.25 × 211.80
  4. Step 4: Simplify right side
    351.78x = 102,775.95
  5. Step 5: Solve for x
    x = 102,775.95/351.78
  6. Step 6: Final answer
    x = 292.16

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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.