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Finding the Fourth Proportional to 433.18, 649.18 and 159

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Solution

The fourth proportional to 433.18, 649.18 and 159 is: 238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 649.18 = 159 : x
  2. Step 2: Convert to fraction form
    433.18/649.18 = 159/x
  3. Step 3: Cross multiply
    433.18x = 649.18 × 159
  4. Step 4: Simplify right side
    433.18x = 103,219.62
  5. Step 5: Solve for x
    x = 103,219.62/433.18
  6. Step 6: Final answer
    x = 238.28

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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.