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Finding the Fourth Proportional to 228.92, 311.68 and 228.20

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Solution

The fourth proportional to 228.92, 311.68 and 228.20 is: 310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 311.68 = 228.20 : x
  2. Step 2: Convert to fraction form
    228.92/311.68 = 228.20/x
  3. Step 3: Cross multiply
    228.92x = 311.68 × 228.20
  4. Step 4: Simplify right side
    228.92x = 71,125.38
  5. Step 5: Solve for x
    x = 71,125.38/228.92
  6. Step 6: Final answer
    x = 310.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.