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Finding the Fourth Proportional to 228.78, 341.33 and 222.50

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Solution

The fourth proportional to 228.78, 341.33 and 222.50 is: 331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 341.33 = 222.50 : x
  2. Step 2: Convert to fraction form
    228.78/341.33 = 222.50/x
  3. Step 3: Cross multiply
    228.78x = 341.33 × 222.50
  4. Step 4: Simplify right side
    228.78x = 75,945.67
  5. Step 5: Solve for x
    x = 75,945.67/228.78
  6. Step 6: Final answer
    x = 331.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.