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Finding the Fourth Proportional to 433.11, 649.28 and 159.01

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Solution

The fourth proportional to 433.11, 649.28 and 159.01 is: 238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.11 : 649.28 = 159.01 : x
  2. Step 2: Convert to fraction form
    433.11/649.28 = 159.01/x
  3. Step 3: Cross multiply
    433.11x = 649.28 × 159.01
  4. Step 4: Simplify right side
    433.11x = 103,239.59
  5. Step 5: Solve for x
    x = 103,239.59/433.11
  6. Step 6: Final answer
    x = 238.37

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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.