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Finding the Fourth Proportional to 280.42, 386.90 and 163.96

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Solution

The fourth proportional to 280.42, 386.90 and 163.96 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.42 : 386.90 = 163.96 : x
  2. Step 2: Convert to fraction form
    280.42/386.90 = 163.96/x
  3. Step 3: Cross multiply
    280.42x = 386.90 × 163.96
  4. Step 4: Simplify right side
    280.42x = 63,436.12
  5. Step 5: Solve for x
    x = 63,436.12/280.42
  6. Step 6: Final answer
    x = 226.22

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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.