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Finding the Fourth Proportional to 228.32, 316.94 and 213.92

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Solution

The fourth proportional to 228.32, 316.94 and 213.92 is: 296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 316.94 = 213.92 : x
  2. Step 2: Convert to fraction form
    228.32/316.94 = 213.92/x
  3. Step 3: Cross multiply
    228.32x = 316.94 × 213.92
  4. Step 4: Simplify right side
    228.32x = 67,799.80
  5. Step 5: Solve for x
    x = 67,799.80/228.32
  6. Step 6: Final answer
    x = 296.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.