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Finding the Fourth Proportional to 229.08, 341.22 and 227.72

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Solution

The fourth proportional to 229.08, 341.22 and 227.72 is: 339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 341.22 = 227.72 : x
  2. Step 2: Convert to fraction form
    229.08/341.22 = 227.72/x
  3. Step 3: Cross multiply
    229.08x = 341.22 × 227.72
  4. Step 4: Simplify right side
    229.08x = 77,700.91
  5. Step 5: Solve for x
    x = 77,700.91/229.08
  6. Step 6: Final answer
    x = 339.19

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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.