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Finding the Fourth Proportional to 229.22, 342.28 and 216.42

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Solution

The fourth proportional to 229.22, 342.28 and 216.42 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 342.28 = 216.42 : x
  2. Step 2: Convert to fraction form
    229.22/342.28 = 216.42/x
  3. Step 3: Cross multiply
    229.22x = 342.28 × 216.42
  4. Step 4: Simplify right side
    229.22x = 74,076.24
  5. Step 5: Solve for x
    x = 74,076.24/229.22
  6. Step 6: Final answer
    x = 323.17

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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.