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Finding the Fourth Proportional to 433.13, 649.74 and 159.24

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Solution

The fourth proportional to 433.13, 649.74 and 159.24 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 649.74 = 159.24 : x
  2. Step 2: Convert to fraction form
    433.13/649.74 = 159.24/x
  3. Step 3: Cross multiply
    433.13x = 649.74 × 159.24
  4. Step 4: Simplify right side
    433.13x = 103,467.63
  5. Step 5: Solve for x
    x = 103,467.63/433.13
  6. Step 6: Final answer
    x = 238.89

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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.