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Finding the Fourth Proportional to 163.46, 243.71 and 159.25

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Solution

The fourth proportional to 163.46, 243.71 and 159.25 is: 237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 243.71 = 159.25 : x
  2. Step 2: Convert to fraction form
    163.46/243.71 = 159.25/x
  3. Step 3: Cross multiply
    163.46x = 243.71 × 159.25
  4. Step 4: Simplify right side
    163.46x = 38,810.82
  5. Step 5: Solve for x
    x = 38,810.82/163.46
  6. Step 6: Final answer
    x = 237.43

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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.