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Finding the Fourth Proportional to 163.90, 225.63 and 149.21

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Solution

The fourth proportional to 163.90, 225.63 and 149.21 is: 205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 225.63 = 149.21 : x
  2. Step 2: Convert to fraction form
    163.90/225.63 = 149.21/x
  3. Step 3: Cross multiply
    163.90x = 225.63 × 149.21
  4. Step 4: Simplify right side
    163.90x = 33,666.19
  5. Step 5: Solve for x
    x = 33,666.19/163.90
  6. Step 6: Final answer
    x = 205.40

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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.