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Finding the Fourth Proportional to 228.31, 340.78 and 212.26

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Solution

The fourth proportional to 228.31, 340.78 and 212.26 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 340.78 = 212.26 : x
  2. Step 2: Convert to fraction form
    228.31/340.78 = 212.26/x
  3. Step 3: Cross multiply
    228.31x = 340.78 × 212.26
  4. Step 4: Simplify right side
    228.31x = 72,333.96
  5. Step 5: Solve for x
    x = 72,333.96/228.31
  6. Step 6: Final answer
    x = 316.82

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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.