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Finding the Fourth Proportional to 433.22, 649.81 and 140.74

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Solution

The fourth proportional to 433.22, 649.81 and 140.74 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 649.81 = 140.74 : x
  2. Step 2: Convert to fraction form
    433.22/649.81 = 140.74/x
  3. Step 3: Cross multiply
    433.22x = 649.81 × 140.74
  4. Step 4: Simplify right side
    433.22x = 91,454.26
  5. Step 5: Solve for x
    x = 91,454.26/433.22
  6. Step 6: Final answer
    x = 211.10

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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.