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Finding the Fourth Proportional to 640.12, 960.17 and 165.20

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Solution

The fourth proportional to 640.12, 960.17 and 165.20 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.12 : 960.17 = 165.20 : x
  2. Step 2: Convert to fraction form
    640.12/960.17 = 165.20/x
  3. Step 3: Cross multiply
    640.12x = 960.17 × 165.20
  4. Step 4: Simplify right side
    640.12x = 158,614.46
  5. Step 5: Solve for x
    x = 158,614.46/640.12
  6. Step 6: Final answer
    x = 247.79

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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.