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Finding the Fourth Proportional to 334.10, 499.68 and 297.80

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Solution

The fourth proportional to 334.10, 499.68 and 297.80 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 499.68 = 297.80 : x
  2. Step 2: Convert to fraction form
    334.10/499.68 = 297.80/x
  3. Step 3: Cross multiply
    334.10x = 499.68 × 297.80
  4. Step 4: Simplify right side
    334.10x = 148,804.70
  5. Step 5: Solve for x
    x = 148,804.70/334.10
  6. Step 6: Final answer
    x = 445.39

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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.