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Finding the Fourth Proportional to 456.02, 682.97 and 224.19

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Solution

The fourth proportional to 456.02, 682.97 and 224.19 is: 335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 682.97 = 224.19 : x
  2. Step 2: Convert to fraction form
    456.02/682.97 = 224.19/x
  3. Step 3: Cross multiply
    456.02x = 682.97 × 224.19
  4. Step 4: Simplify right side
    456.02x = 153,115.04
  5. Step 5: Solve for x
    x = 153,115.04/456.02
  6. Step 6: Final answer
    x = 335.76

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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.