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Finding the Fourth Proportional to 433.24, 649.92 and 159.46

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Solution

The fourth proportional to 433.24, 649.92 and 159.46 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 649.92 = 159.46 : x
  2. Step 2: Convert to fraction form
    433.24/649.92 = 159.46/x
  3. Step 3: Cross multiply
    433.24x = 649.92 × 159.46
  4. Step 4: Simplify right side
    433.24x = 103,636.24
  5. Step 5: Solve for x
    x = 103,636.24/433.24
  6. Step 6: Final answer
    x = 239.21

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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.