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Finding the Fourth Proportional to 163.34, 243.66 and 159.70

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Solution

The fourth proportional to 163.34, 243.66 and 159.70 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.34 : 243.66 = 159.70 : x
  2. Step 2: Convert to fraction form
    163.34/243.66 = 159.70/x
  3. Step 3: Cross multiply
    163.34x = 243.66 × 159.70
  4. Step 4: Simplify right side
    163.34x = 38,912.50
  5. Step 5: Solve for x
    x = 38,912.50/163.34
  6. Step 6: Final answer
    x = 238.23

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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.