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Finding the Fourth Proportional to 163.63, 225.98 and 114.42

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Solution

The fourth proportional to 163.63, 225.98 and 114.42 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 225.98 = 114.42 : x
  2. Step 2: Convert to fraction form
    163.63/225.98 = 114.42/x
  3. Step 3: Cross multiply
    163.63x = 225.98 × 114.42
  4. Step 4: Simplify right side
    163.63x = 25,856.06
  5. Step 5: Solve for x
    x = 25,856.06/163.63
  6. Step 6: Final answer
    x = 158.02

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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.