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Finding the Fourth Proportional to 333.20, 499.70 and 217.64

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Solution

The fourth proportional to 333.20, 499.70 and 217.64 is: 326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 499.70 = 217.64 : x
  2. Step 2: Convert to fraction form
    333.20/499.70 = 217.64/x
  3. Step 3: Cross multiply
    333.20x = 499.70 × 217.64
  4. Step 4: Simplify right side
    333.20x = 108,756.50
  5. Step 5: Solve for x
    x = 108,756.50/333.20
  6. Step 6: Final answer
    x = 326.40

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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.