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Finding the Fourth Proportional to 408.64, 612.88 and 165.12

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Solution

The fourth proportional to 408.64, 612.88 and 165.12 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 612.88 = 165.12 : x
  2. Step 2: Convert to fraction form
    408.64/612.88 = 165.12/x
  3. Step 3: Cross multiply
    408.64x = 612.88 × 165.12
  4. Step 4: Simplify right side
    408.64x = 101,198.75
  5. Step 5: Solve for x
    x = 101,198.75/408.64
  6. Step 6: Final answer
    x = 247.65

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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.