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Finding the Fourth Proportional to 455.29, 682.02 and 224.03

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Solution

The fourth proportional to 455.29, 682.02 and 224.03 is: 335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.29 : 682.02 = 224.03 : x
  2. Step 2: Convert to fraction form
    455.29/682.02 = 224.03/x
  3. Step 3: Cross multiply
    455.29x = 682.02 × 224.03
  4. Step 4: Simplify right side
    455.29x = 152,794.65
  5. Step 5: Solve for x
    x = 152,794.65/455.29
  6. Step 6: Final answer
    x = 335.60

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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.