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Finding the Fourth Proportional to 431.30, 646.61 and 200.07

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Solution

The fourth proportional to 431.30, 646.61 and 200.07 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 646.61 = 200.07 : x
  2. Step 2: Convert to fraction form
    431.30/646.61 = 200.07/x
  3. Step 3: Cross multiply
    431.30x = 646.61 × 200.07
  4. Step 4: Simplify right side
    431.30x = 129,366.26
  5. Step 5: Solve for x
    x = 129,366.26/431.30
  6. Step 6: Final answer
    x = 299.94

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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.