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Finding the Fourth Proportional to 280.11, 386.47 and 163.60

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Solution

The fourth proportional to 280.11, 386.47 and 163.60 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 386.47 = 163.60 : x
  2. Step 2: Convert to fraction form
    280.11/386.47 = 163.60/x
  3. Step 3: Cross multiply
    280.11x = 386.47 × 163.60
  4. Step 4: Simplify right side
    280.11x = 63,226.49
  5. Step 5: Solve for x
    x = 63,226.49/280.11
  6. Step 6: Final answer
    x = 225.72

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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.