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Finding the Fourth Proportional to 433.02, 649.20 and 216.75

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Solution

The fourth proportional to 433.02, 649.20 and 216.75 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 649.20 = 216.75 : x
  2. Step 2: Convert to fraction form
    433.02/649.20 = 216.75/x
  3. Step 3: Cross multiply
    433.02x = 649.20 × 216.75
  4. Step 4: Simplify right side
    433.02x = 140,714.10
  5. Step 5: Solve for x
    x = 140,714.10/433.02
  6. Step 6: Final answer
    x = 324.96

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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.