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Finding the Fourth Proportional to 228.42, 316.71 and 216.12

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Solution

The fourth proportional to 228.42, 316.71 and 216.12 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 316.71 = 216.12 : x
  2. Step 2: Convert to fraction form
    228.42/316.71 = 216.12/x
  3. Step 3: Cross multiply
    228.42x = 316.71 × 216.12
  4. Step 4: Simplify right side
    228.42x = 68,447.37
  5. Step 5: Solve for x
    x = 68,447.37/228.42
  6. Step 6: Final answer
    x = 299.66

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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.