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Finding the Fourth Proportional to 333.74, 499.98 and 297.28

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Solution

The fourth proportional to 333.74, 499.98 and 297.28 is: 445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 499.98 = 297.28 : x
  2. Step 2: Convert to fraction form
    333.74/499.98 = 297.28/x
  3. Step 3: Cross multiply
    333.74x = 499.98 × 297.28
  4. Step 4: Simplify right side
    333.74x = 148,634.05
  5. Step 5: Solve for x
    x = 148,634.05/333.74
  6. Step 6: Final answer
    x = 445.36

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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.