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Finding the Fourth Proportional to 333.02, 499.31 and 217.38

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Solution

The fourth proportional to 333.02, 499.31 and 217.38 is: 325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 499.31 = 217.38 : x
  2. Step 2: Convert to fraction form
    333.02/499.31 = 217.38/x
  3. Step 3: Cross multiply
    333.02x = 499.31 × 217.38
  4. Step 4: Simplify right side
    333.02x = 108,538.92
  5. Step 5: Solve for x
    x = 108,538.92/333.02
  6. Step 6: Final answer
    x = 325.93

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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.