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Finding the Fourth Proportional to 327.78, 452.10 and 211.32

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Solution

The fourth proportional to 327.78, 452.10 and 211.32 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 452.10 = 211.32 : x
  2. Step 2: Convert to fraction form
    327.78/452.10 = 211.32/x
  3. Step 3: Cross multiply
    327.78x = 452.10 × 211.32
  4. Step 4: Simplify right side
    327.78x = 95,537.77
  5. Step 5: Solve for x
    x = 95,537.77/327.78
  6. Step 6: Final answer
    x = 291.47

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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.