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Finding the Fourth Proportional to 332.82, 459 and 201.78

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Solution

The fourth proportional to 332.82, 459 and 201.78 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.82 : 459 = 201.78 : x
  2. Step 2: Convert to fraction form
    332.82/459 = 201.78/x
  3. Step 3: Cross multiply
    332.82x = 459 × 201.78
  4. Step 4: Simplify right side
    332.82x = 92,617.02
  5. Step 5: Solve for x
    x = 92,617.02/332.82
  6. Step 6: Final answer
    x = 278.28

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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.