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Finding the Fourth Proportional to 163.17, 225.34 and 110.95

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Solution

The fourth proportional to 163.17, 225.34 and 110.95 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.17 : 225.34 = 110.95 : x
  2. Step 2: Convert to fraction form
    163.17/225.34 = 110.95/x
  3. Step 3: Cross multiply
    163.17x = 225.34 × 110.95
  4. Step 4: Simplify right side
    163.17x = 25,000.63
  5. Step 5: Solve for x
    x = 25,000.63/163.17
  6. Step 6: Final answer
    x = 153.22

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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.