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Finding the Fourth Proportional to 163.89, 227.34 and 151.74

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Solution

The fourth proportional to 163.89, 227.34 and 151.74 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 227.34 = 151.74 : x
  2. Step 2: Convert to fraction form
    163.89/227.34 = 151.74/x
  3. Step 3: Cross multiply
    163.89x = 227.34 × 151.74
  4. Step 4: Simplify right side
    163.89x = 34,496.57
  5. Step 5: Solve for x
    x = 34,496.57/163.89
  6. Step 6: Final answer
    x = 210.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.