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Finding the Fourth Proportional to 280.12, 386.50 and 163.64

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Solution

The fourth proportional to 280.12, 386.50 and 163.64 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 386.50 = 163.64 : x
  2. Step 2: Convert to fraction form
    280.12/386.50 = 163.64/x
  3. Step 3: Cross multiply
    280.12x = 386.50 × 163.64
  4. Step 4: Simplify right side
    280.12x = 63,246.86
  5. Step 5: Solve for x
    x = 63,246.86/280.12
  6. Step 6: Final answer
    x = 225.78

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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.