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Finding the Fourth Proportional to 163.32, 243.84 and 140.40

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Solution

The fourth proportional to 163.32, 243.84 and 140.40 is: 209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.32 : 243.84 = 140.40 : x
  2. Step 2: Convert to fraction form
    163.32/243.84 = 140.40/x
  3. Step 3: Cross multiply
    163.32x = 243.84 × 140.40
  4. Step 4: Simplify right side
    163.32x = 34,235.14
  5. Step 5: Solve for x
    x = 34,235.14/163.32
  6. Step 6: Final answer
    x = 209.62

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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.