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Finding the Fourth Proportional to 280.17, 386.43 and 196

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Solution

The fourth proportional to 280.17, 386.43 and 196 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 386.43 = 196 : x
  2. Step 2: Convert to fraction form
    280.17/386.43 = 196/x
  3. Step 3: Cross multiply
    280.17x = 386.43 × 196
  4. Step 4: Simplify right side
    280.17x = 75,740.28
  5. Step 5: Solve for x
    x = 75,740.28/280.17
  6. Step 6: Final answer
    x = 270.34

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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.