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Finding the Fourth Proportional to 640.53, 961.18 and 229.77

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Solution

The fourth proportional to 640.53, 961.18 and 229.77 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.53 : 961.18 = 229.77 : x
  2. Step 2: Convert to fraction form
    640.53/961.18 = 229.77/x
  3. Step 3: Cross multiply
    640.53x = 961.18 × 229.77
  4. Step 4: Simplify right side
    640.53x = 220,849.75
  5. Step 5: Solve for x
    x = 220,849.75/640.53
  6. Step 6: Final answer
    x = 344.79

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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.