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Finding the Fourth Proportional to 361.82, 498.95 and 219.99

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Solution

The fourth proportional to 361.82, 498.95 and 219.99 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 498.95 = 219.99 : x
  2. Step 2: Convert to fraction form
    361.82/498.95 = 219.99/x
  3. Step 3: Cross multiply
    361.82x = 498.95 × 219.99
  4. Step 4: Simplify right side
    361.82x = 109,764.01
  5. Step 5: Solve for x
    x = 109,764.01/361.82
  6. Step 6: Final answer
    x = 303.37

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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.