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Finding the Fourth Proportional to 163.55, 225.50 and 140.19

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Solution

The fourth proportional to 163.55, 225.50 and 140.19 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.55 : 225.50 = 140.19 : x
  2. Step 2: Convert to fraction form
    163.55/225.50 = 140.19/x
  3. Step 3: Cross multiply
    163.55x = 225.50 × 140.19
  4. Step 4: Simplify right side
    163.55x = 31,612.14
  5. Step 5: Solve for x
    x = 31,612.14/163.55
  6. Step 6: Final answer
    x = 193.29

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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.