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Finding the Fourth Proportional to 361.69, 499.45 and 229.14

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Solution

The fourth proportional to 361.69, 499.45 and 229.14 is: 316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 499.45 = 229.14 : x
  2. Step 2: Convert to fraction form
    361.69/499.45 = 229.14/x
  3. Step 3: Cross multiply
    361.69x = 499.45 × 229.14
  4. Step 4: Simplify right side
    361.69x = 114,443.40
  5. Step 5: Solve for x
    x = 114,443.40/361.69
  6. Step 6: Final answer
    x = 316.42

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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.