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Finding the Fourth Proportional to 280.15, 386.20 and 201.44

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Solution

The fourth proportional to 280.15, 386.20 and 201.44 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.15 : 386.20 = 201.44 : x
  2. Step 2: Convert to fraction form
    280.15/386.20 = 201.44/x
  3. Step 3: Cross multiply
    280.15x = 386.20 × 201.44
  4. Step 4: Simplify right side
    280.15x = 77,796.13
  5. Step 5: Solve for x
    x = 77,796.13/280.15
  6. Step 6: Final answer
    x = 277.69

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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.