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Finding the Fourth Proportional to 431.36, 646.40 and 199.70

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Solution

The fourth proportional to 431.36, 646.40 and 199.70 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.36 : 646.40 = 199.70 : x
  2. Step 2: Convert to fraction form
    431.36/646.40 = 199.70/x
  3. Step 3: Cross multiply
    431.36x = 646.40 × 199.70
  4. Step 4: Simplify right side
    431.36x = 129,086.08
  5. Step 5: Solve for x
    x = 129,086.08/431.36
  6. Step 6: Final answer
    x = 299.25

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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.