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Finding the Fourth Proportional to 229.42, 312.36 and 228.70

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Solution

The fourth proportional to 229.42, 312.36 and 228.70 is: 311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 312.36 = 228.70 : x
  2. Step 2: Convert to fraction form
    229.42/312.36 = 228.70/x
  3. Step 3: Cross multiply
    229.42x = 312.36 × 228.70
  4. Step 4: Simplify right side
    229.42x = 71,436.73
  5. Step 5: Solve for x
    x = 71,436.73/229.42
  6. Step 6: Final answer
    x = 311.38

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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.