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Finding the Fourth Proportional to 228.92, 341.71 and 198.60

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Solution

The fourth proportional to 228.92, 341.71 and 198.60 is: 296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 341.71 = 198.60 : x
  2. Step 2: Convert to fraction form
    228.92/341.71 = 198.60/x
  3. Step 3: Cross multiply
    228.92x = 341.71 × 198.60
  4. Step 4: Simplify right side
    228.92x = 67,863.61
  5. Step 5: Solve for x
    x = 67,863.61/228.92
  6. Step 6: Final answer
    x = 296.45

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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.