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Finding the Fourth Proportional to 640.18, 959.93 and 229.26

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Solution

The fourth proportional to 640.18, 959.93 and 229.26 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.18 : 959.93 = 229.26 : x
  2. Step 2: Convert to fraction form
    640.18/959.93 = 229.26/x
  3. Step 3: Cross multiply
    640.18x = 959.93 × 229.26
  4. Step 4: Simplify right side
    640.18x = 220,076.86
  5. Step 5: Solve for x
    x = 220,076.86/640.18
  6. Step 6: Final answer
    x = 343.77

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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.