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Finding the Fourth Proportional to 163.31, 224.23 and 159.08

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Solution

The fourth proportional to 163.31, 224.23 and 159.08 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.31 : 224.23 = 159.08 : x
  2. Step 2: Convert to fraction form
    163.31/224.23 = 159.08/x
  3. Step 3: Cross multiply
    163.31x = 224.23 × 159.08
  4. Step 4: Simplify right side
    163.31x = 35,670.27
  5. Step 5: Solve for x
    x = 35,670.27/163.31
  6. Step 6: Final answer
    x = 218.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.