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Finding the Fourth Proportional to 228.98, 341.54 and 222.14

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Solution

The fourth proportional to 228.98, 341.54 and 222.14 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.98 : 341.54 = 222.14 : x
  2. Step 2: Convert to fraction form
    228.98/341.54 = 222.14/x
  3. Step 3: Cross multiply
    228.98x = 341.54 × 222.14
  4. Step 4: Simplify right side
    228.98x = 75,869.70
  5. Step 5: Solve for x
    x = 75,869.70/228.98
  6. Step 6: Final answer
    x = 331.34

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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.