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Finding the Fourth Proportional to 163.30, 243.65 and 159.61

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Solution

The fourth proportional to 163.30, 243.65 and 159.61 is: 238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.30 : 243.65 = 159.61 : x
  2. Step 2: Convert to fraction form
    163.30/243.65 = 159.61/x
  3. Step 3: Cross multiply
    163.30x = 243.65 × 159.61
  4. Step 4: Simplify right side
    163.30x = 38,888.98
  5. Step 5: Solve for x
    x = 38,888.98/163.30
  6. Step 6: Final answer
    x = 238.14

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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.