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Finding the Fourth Proportional to 163.48, 245.22 and 122.74

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Solution

The fourth proportional to 163.48, 245.22 and 122.74 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 245.22 = 122.74 : x
  2. Step 2: Convert to fraction form
    163.48/245.22 = 122.74/x
  3. Step 3: Cross multiply
    163.48x = 245.22 × 122.74
  4. Step 4: Simplify right side
    163.48x = 30,098.30
  5. Step 5: Solve for x
    x = 30,098.30/163.48
  6. Step 6: Final answer
    x = 184.11

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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.