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Finding the Fourth Proportional to 280.29, 386.73 and 169.78

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Solution

The fourth proportional to 280.29, 386.73 and 169.78 is: 234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 386.73 = 169.78 : x
  2. Step 2: Convert to fraction form
    280.29/386.73 = 169.78/x
  3. Step 3: Cross multiply
    280.29x = 386.73 × 169.78
  4. Step 4: Simplify right side
    280.29x = 65,659.02
  5. Step 5: Solve for x
    x = 65,659.02/280.29
  6. Step 6: Final answer
    x = 234.25

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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.