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Finding the Fourth Proportional to 431.10, 646.59 and 199.91

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Solution

The fourth proportional to 431.10, 646.59 and 199.91 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 646.59 = 199.91 : x
  2. Step 2: Convert to fraction form
    431.10/646.59 = 199.91/x
  3. Step 3: Cross multiply
    431.10x = 646.59 × 199.91
  4. Step 4: Simplify right side
    431.10x = 129,261.42
  5. Step 5: Solve for x
    x = 129,261.42/431.10
  6. Step 6: Final answer
    x = 299.84

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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.