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Finding the Fourth Proportional to 163.08, 224.98 and 135.34

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Solution

The fourth proportional to 163.08, 224.98 and 135.34 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 224.98 = 135.34 : x
  2. Step 2: Convert to fraction form
    163.08/224.98 = 135.34/x
  3. Step 3: Cross multiply
    163.08x = 224.98 × 135.34
  4. Step 4: Simplify right side
    163.08x = 30,447.89
  5. Step 5: Solve for x
    x = 30,447.89/163.08
  6. Step 6: Final answer
    x = 186.71

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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.