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Finding the Fourth Proportional to 228.17, 340.72 and 216.34

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Solution

The fourth proportional to 228.17, 340.72 and 216.34 is: 323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.17 : 340.72 = 216.34 : x
  2. Step 2: Convert to fraction form
    228.17/340.72 = 216.34/x
  3. Step 3: Cross multiply
    228.17x = 340.72 × 216.34
  4. Step 4: Simplify right side
    228.17x = 73,709.97
  5. Step 5: Solve for x
    x = 73,709.97/228.17
  6. Step 6: Final answer
    x = 323.04

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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.