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Finding the Fourth Proportional to 640.05, 960.09 and 293.37

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Solution

The fourth proportional to 640.05, 960.09 and 293.37 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.05 : 960.09 = 293.37 : x
  2. Step 2: Convert to fraction form
    640.05/960.09 = 293.37/x
  3. Step 3: Cross multiply
    640.05x = 960.09 × 293.37
  4. Step 4: Simplify right side
    640.05x = 281,661.60
  5. Step 5: Solve for x
    x = 281,661.60/640.05
  6. Step 6: Final answer
    x = 440.06

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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.