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Finding the Fourth Proportional to 163.28, 246.12 and 159.60

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Solution

The fourth proportional to 163.28, 246.12 and 159.60 is: 240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 246.12 = 159.60 : x
  2. Step 2: Convert to fraction form
    163.28/246.12 = 159.60/x
  3. Step 3: Cross multiply
    163.28x = 246.12 × 159.60
  4. Step 4: Simplify right side
    163.28x = 39,280.75
  5. Step 5: Solve for x
    x = 39,280.75/163.28
  6. Step 6: Final answer
    x = 240.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.