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Finding the Fourth Proportional to 280.11, 386.60 and 201.63

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Solution

The fourth proportional to 280.11, 386.60 and 201.63 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 386.60 = 201.63 : x
  2. Step 2: Convert to fraction form
    280.11/386.60 = 201.63/x
  3. Step 3: Cross multiply
    280.11x = 386.60 × 201.63
  4. Step 4: Simplify right side
    280.11x = 77,949.15
  5. Step 5: Solve for x
    x = 77,949.15/280.11
  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.