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Finding the Fourth Proportional to 431.20, 646.23 and 196.76

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Solution

The fourth proportional to 431.20, 646.23 and 196.76 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 646.23 = 196.76 : x
  2. Step 2: Convert to fraction form
    431.20/646.23 = 196.76/x
  3. Step 3: Cross multiply
    431.20x = 646.23 × 196.76
  4. Step 4: Simplify right side
    431.20x = 127,152.21
  5. Step 5: Solve for x
    x = 127,152.21/431.20
  6. Step 6: Final answer
    x = 294.88

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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.