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Finding the Fourth Proportional to 280.21, 386.62 and 163.75

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Solution

The fourth proportional to 280.21, 386.62 and 163.75 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 386.62 = 163.75 : x
  2. Step 2: Convert to fraction form
    280.21/386.62 = 163.75/x
  3. Step 3: Cross multiply
    280.21x = 386.62 × 163.75
  4. Step 4: Simplify right side
    280.21x = 63,309.03
  5. Step 5: Solve for x
    x = 63,309.03/280.21
  6. Step 6: Final answer
    x = 225.93

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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.