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Finding the Fourth Proportional to 332.78, 458.97 and 201.66

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Solution

The fourth proportional to 332.78, 458.97 and 201.66 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 458.97 = 201.66 : x
  2. Step 2: Convert to fraction form
    332.78/458.97 = 201.66/x
  3. Step 3: Cross multiply
    332.78x = 458.97 × 201.66
  4. Step 4: Simplify right side
    332.78x = 92,553.41
  5. Step 5: Solve for x
    x = 92,553.41/332.78
  6. Step 6: Final answer
    x = 278.13

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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.