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Finding the Fourth Proportional to 280.24, 386.76 and 163.84

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Solution

The fourth proportional to 280.24, 386.76 and 163.84 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 386.76 = 163.84 : x
  2. Step 2: Convert to fraction form
    280.24/386.76 = 163.84/x
  3. Step 3: Cross multiply
    280.24x = 386.76 × 163.84
  4. Step 4: Simplify right side
    280.24x = 63,366.76
  5. Step 5: Solve for x
    x = 63,366.76/280.24
  6. Step 6: Final answer
    x = 226.12

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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.