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Finding the Fourth Proportional to 165.24, 246.96 and 149.04

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Solution

The fourth proportional to 165.24, 246.96 and 149.04 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 246.96 = 149.04 : x
  2. Step 2: Convert to fraction form
    165.24/246.96 = 149.04/x
  3. Step 3: Cross multiply
    165.24x = 246.96 × 149.04
  4. Step 4: Simplify right side
    165.24x = 36,806.92
  5. Step 5: Solve for x
    x = 36,806.92/165.24
  6. Step 6: Final answer
    x = 222.75

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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.