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Finding the Fourth Proportional to 163, 224.80 and 142.28

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Solution

The fourth proportional to 163, 224.80 and 142.28 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163 : 224.80 = 142.28 : x
  2. Step 2: Convert to fraction form
    163/224.80 = 142.28/x
  3. Step 3: Cross multiply
    163x = 224.80 × 142.28
  4. Step 4: Simplify right side
    163x = 31,984.54
  5. Step 5: Solve for x
    x = 31,984.54/163
  6. Step 6: Final answer
    x = 196.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.