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Finding the Fourth Proportional to 433.31, 650.14 and 189.88

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Solution

The fourth proportional to 433.31, 650.14 and 189.88 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 650.14 = 189.88 : x
  2. Step 2: Convert to fraction form
    433.31/650.14 = 189.88/x
  3. Step 3: Cross multiply
    433.31x = 650.14 × 189.88
  4. Step 4: Simplify right side
    433.31x = 123,446.48
  5. Step 5: Solve for x
    x = 123,446.48/433.31
  6. Step 6: Final answer
    x = 284.90

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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.