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Finding the Fourth Proportional to 311.10, 429.39 and 228.48

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Solution

The fourth proportional to 311.10, 429.39 and 228.48 is: 315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 429.39 = 228.48 : x
  2. Step 2: Convert to fraction form
    311.10/429.39 = 228.48/x
  3. Step 3: Cross multiply
    311.10x = 429.39 × 228.48
  4. Step 4: Simplify right side
    311.10x = 98,107.03
  5. Step 5: Solve for x
    x = 98,107.03/311.10
  6. Step 6: Final answer
    x = 315.36

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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.