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Finding the Fourth Proportional to 163.11, 245.25 and 149.13

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Solution

The fourth proportional to 163.11, 245.25 and 149.13 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.11 : 245.25 = 149.13 : x
  2. Step 2: Convert to fraction form
    163.11/245.25 = 149.13/x
  3. Step 3: Cross multiply
    163.11x = 245.25 × 149.13
  4. Step 4: Simplify right side
    163.11x = 36,574.13
  5. Step 5: Solve for x
    x = 36,574.13/163.11
  6. Step 6: Final answer
    x = 224.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.