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Finding the Fourth Proportional to 431.62, 646.56 and 200.19

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Solution

The fourth proportional to 431.62, 646.56 and 200.19 is: 299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.62 : 646.56 = 200.19 : x
  2. Step 2: Convert to fraction form
    431.62/646.56 = 200.19/x
  3. Step 3: Cross multiply
    431.62x = 646.56 × 200.19
  4. Step 4: Simplify right side
    431.62x = 129,434.85
  5. Step 5: Solve for x
    x = 129,434.85/431.62
  6. Step 6: Final answer
    x = 299.88

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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.