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Finding the Fourth Proportional to 229.89, 315.49 and 228.27

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Solution

The fourth proportional to 229.89, 315.49 and 228.27 is: 313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.89 : 315.49 = 228.27 : x
  2. Step 2: Convert to fraction form
    229.89/315.49 = 228.27/x
  3. Step 3: Cross multiply
    229.89x = 315.49 × 228.27
  4. Step 4: Simplify right side
    229.89x = 72,016.33
  5. Step 5: Solve for x
    x = 72,016.33/229.89
  6. Step 6: Final answer
    x = 313.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.