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Finding the Fourth Proportional to 311.30, 428.45 and 228.27

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Solution

The fourth proportional to 311.30, 428.45 and 228.27 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.30 : 428.45 = 228.27 : x
  2. Step 2: Convert to fraction form
    311.30/428.45 = 228.27/x
  3. Step 3: Cross multiply
    311.30x = 428.45 × 228.27
  4. Step 4: Simplify right side
    311.30x = 97,802.28
  5. Step 5: Solve for x
    x = 97,802.28/311.30
  6. Step 6: Final answer
    x = 314.17

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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.