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Finding the Fourth Proportional to 228.88, 341.71 and 196.39

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Solution

The fourth proportional to 228.88, 341.71 and 196.39 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.88 : 341.71 = 196.39 : x
  2. Step 2: Convert to fraction form
    228.88/341.71 = 196.39/x
  3. Step 3: Cross multiply
    228.88x = 341.71 × 196.39
  4. Step 4: Simplify right side
    228.88x = 67,108.43
  5. Step 5: Solve for x
    x = 67,108.43/228.88
  6. Step 6: Final answer
    x = 293.20

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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.