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Finding the Fourth Proportional to 498.15, 746.92 and 224.62

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Solution

The fourth proportional to 498.15, 746.92 and 224.62 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 746.92 = 224.62 : x
  2. Step 2: Convert to fraction form
    498.15/746.92 = 224.62/x
  3. Step 3: Cross multiply
    498.15x = 746.92 × 224.62
  4. Step 4: Simplify right side
    498.15x = 167,775.79
  5. Step 5: Solve for x
    x = 167,775.79/498.15
  6. Step 6: Final answer
    x = 336.80

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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.