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Finding the Fourth Proportional to 498.22, 746.13 and 299.99

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Solution

The fourth proportional to 498.22, 746.13 and 299.99 is: 449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 746.13 = 299.99 : x
  2. Step 2: Convert to fraction form
    498.22/746.13 = 299.99/x
  3. Step 3: Cross multiply
    498.22x = 746.13 × 299.99
  4. Step 4: Simplify right side
    498.22x = 223,831.54
  5. Step 5: Solve for x
    x = 223,831.54/498.22
  6. Step 6: Final answer
    x = 449.26

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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.