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Finding the Fourth Proportional to 431.20, 646.94 and 225.64

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Solution

The fourth proportional to 431.20, 646.94 and 225.64 is: 338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 646.94 = 225.64 : x
  2. Step 2: Convert to fraction form
    431.20/646.94 = 225.64/x
  3. Step 3: Cross multiply
    431.20x = 646.94 × 225.64
  4. Step 4: Simplify right side
    431.20x = 145,975.54
  5. Step 5: Solve for x
    x = 145,975.54/431.20
  6. Step 6: Final answer
    x = 338.53

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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.