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Finding the Fourth Proportional to 640.34, 960.06 and 223.77

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Solution

The fourth proportional to 640.34, 960.06 and 223.77 is: 335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.34 : 960.06 = 223.77 : x
  2. Step 2: Convert to fraction form
    640.34/960.06 = 223.77/x
  3. Step 3: Cross multiply
    640.34x = 960.06 × 223.77
  4. Step 4: Simplify right side
    640.34x = 214,832.63
  5. Step 5: Solve for x
    x = 214,832.63/640.34
  6. Step 6: Final answer
    x = 335.50

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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.