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Finding the Fourth Proportional to 163.40, 225.43 and 110.93

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Solution

The fourth proportional to 163.40, 225.43 and 110.93 is: 153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 225.43 = 110.93 : x
  2. Step 2: Convert to fraction form
    163.40/225.43 = 110.93/x
  3. Step 3: Cross multiply
    163.40x = 225.43 × 110.93
  4. Step 4: Simplify right side
    163.40x = 25,006.40
  5. Step 5: Solve for x
    x = 25,006.40/163.40
  6. Step 6: Final answer
    x = 153.04

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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.