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Finding the Fourth Proportional to 163.05, 243.12 and 157.13

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Solution

The fourth proportional to 163.05, 243.12 and 157.13 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.05 : 243.12 = 157.13 : x
  2. Step 2: Convert to fraction form
    163.05/243.12 = 157.13/x
  3. Step 3: Cross multiply
    163.05x = 243.12 × 157.13
  4. Step 4: Simplify right side
    163.05x = 38,201.45
  5. Step 5: Solve for x
    x = 38,201.45/163.05
  6. Step 6: Final answer
    x = 234.29

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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.