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Finding the Fourth Proportional to 228.29, 316.44 and 215.96

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Solution

The fourth proportional to 228.29, 316.44 and 215.96 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 316.44 = 215.96 : x
  2. Step 2: Convert to fraction form
    228.29/316.44 = 215.96/x
  3. Step 3: Cross multiply
    228.29x = 316.44 × 215.96
  4. Step 4: Simplify right side
    228.29x = 68,336.80
  5. Step 5: Solve for x
    x = 68,336.80/228.29
  6. Step 6: Final answer
    x = 299.35

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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.