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Finding the Fourth Proportional to 165.13, 246.22 and 163.10

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Solution

The fourth proportional to 165.13, 246.22 and 163.10 is: 243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.13 : 246.22 = 163.10 : x
  2. Step 2: Convert to fraction form
    165.13/246.22 = 163.10/x
  3. Step 3: Cross multiply
    165.13x = 246.22 × 163.10
  4. Step 4: Simplify right side
    165.13x = 40,158.69
  5. Step 5: Solve for x
    x = 40,158.69/165.13
  6. Step 6: Final answer
    x = 243.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.