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Finding the Fourth Proportional to 331.67, 497.64 and 201.67

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Solution

The fourth proportional to 331.67, 497.64 and 201.67 is: 302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 497.64 = 201.67 : x
  2. Step 2: Convert to fraction form
    331.67/497.64 = 201.67/x
  3. Step 3: Cross multiply
    331.67x = 497.64 × 201.67
  4. Step 4: Simplify right side
    331.67x = 100,359.06
  5. Step 5: Solve for x
    x = 100,359.06/331.67
  6. Step 6: Final answer
    x = 302.59

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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.