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Finding the Fourth Proportional to 163.88, 226.15 and 90.19

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Solution

The fourth proportional to 163.88, 226.15 and 90.19 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 226.15 = 90.19 : x
  2. Step 2: Convert to fraction form
    163.88/226.15 = 90.19/x
  3. Step 3: Cross multiply
    163.88x = 226.15 × 90.19
  4. Step 4: Simplify right side
    163.88x = 20,396.02
  5. Step 5: Solve for x
    x = 20,396.02/163.88
  6. Step 6: Final answer
    x = 124.46

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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.