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Finding the Fourth Proportional to 163.08, 224.24 and 142.38

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Solution

The fourth proportional to 163.08, 224.24 and 142.38 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 224.24 = 142.38 : x
  2. Step 2: Convert to fraction form
    163.08/224.24 = 142.38/x
  3. Step 3: Cross multiply
    163.08x = 224.24 × 142.38
  4. Step 4: Simplify right side
    163.08x = 31,926.58
  5. Step 5: Solve for x
    x = 31,926.58/163.08
  6. Step 6: Final answer
    x = 195.77

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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.