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Finding the Fourth Proportional to 163.12, 243.48 and 146.92

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Solution

The fourth proportional to 163.12, 243.48 and 146.92 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.12 : 243.48 = 146.92 : x
  2. Step 2: Convert to fraction form
    163.12/243.48 = 146.92/x
  3. Step 3: Cross multiply
    163.12x = 243.48 × 146.92
  4. Step 4: Simplify right side
    163.12x = 35,772.08
  5. Step 5: Solve for x
    x = 35,772.08/163.12
  6. Step 6: Final answer
    x = 219.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.