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Finding the Fourth Proportional to 229.30, 341.93 and 216.79

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Solution

The fourth proportional to 229.30, 341.93 and 216.79 is: 323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 341.93 = 216.79 : x
  2. Step 2: Convert to fraction form
    229.30/341.93 = 216.79/x
  3. Step 3: Cross multiply
    229.30x = 341.93 × 216.79
  4. Step 4: Simplify right side
    229.30x = 74,126.69
  5. Step 5: Solve for x
    x = 74,126.69/229.30
  6. Step 6: Final answer
    x = 323.28

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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.