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Finding the Fourth Proportional to 333.48, 499.25 and 298.31

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Solution

The fourth proportional to 333.48, 499.25 and 298.31 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 499.25 = 298.31 : x
  2. Step 2: Convert to fraction form
    333.48/499.25 = 298.31/x
  3. Step 3: Cross multiply
    333.48x = 499.25 × 298.31
  4. Step 4: Simplify right side
    333.48x = 148,929.52
  5. Step 5: Solve for x
    x = 148,929.52/333.48
  6. Step 6: Final answer
    x = 446.59

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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.