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Finding the Fourth Proportional to 163.71, 224.75 and 147.24

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Solution

The fourth proportional to 163.71, 224.75 and 147.24 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.71 : 224.75 = 147.24 : x
  2. Step 2: Convert to fraction form
    163.71/224.75 = 147.24/x
  3. Step 3: Cross multiply
    163.71x = 224.75 × 147.24
  4. Step 4: Simplify right side
    163.71x = 33,092.56
  5. Step 5: Solve for x
    x = 33,092.56/163.71
  6. Step 6: Final answer
    x = 202.14

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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.