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Finding the Fourth Proportional to 280.01, 386.43 and 195.99

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Solution

The fourth proportional to 280.01, 386.43 and 195.99 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.01 : 386.43 = 195.99 : x
  2. Step 2: Convert to fraction form
    280.01/386.43 = 195.99/x
  3. Step 3: Cross multiply
    280.01x = 386.43 × 195.99
  4. Step 4: Simplify right side
    280.01x = 75,736.42
  5. Step 5: Solve for x
    x = 75,736.42/280.01
  6. Step 6: Final answer
    x = 270.48

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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.