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Finding the Fourth Proportional to 163.22, 243.76 and 154.34

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Solution

The fourth proportional to 163.22, 243.76 and 154.34 is: 230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 243.76 = 154.34 : x
  2. Step 2: Convert to fraction form
    163.22/243.76 = 154.34/x
  3. Step 3: Cross multiply
    163.22x = 243.76 × 154.34
  4. Step 4: Simplify right side
    163.22x = 37,621.23
  5. Step 5: Solve for x
    x = 37,621.23/163.22
  6. Step 6: Final answer
    x = 230.49

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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.