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Finding the Fourth Proportional to 361, 498 and 213.56

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Solution

The fourth proportional to 361, 498 and 213.56 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 498 = 213.56 : x
  2. Step 2: Convert to fraction form
    361/498 = 213.56/x
  3. Step 3: Cross multiply
    361x = 498 × 213.56
  4. Step 4: Simplify right side
    361x = 106,352.88
  5. Step 5: Solve for x
    x = 106,352.88/361
  6. Step 6: Final answer
    x = 294.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.