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Finding the Fourth Proportional to 227.14, 341.94 and 207.30

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Solution

The fourth proportional to 227.14, 341.94 and 207.30 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.14 : 341.94 = 207.30 : x
  2. Step 2: Convert to fraction form
    227.14/341.94 = 207.30/x
  3. Step 3: Cross multiply
    227.14x = 341.94 × 207.30
  4. Step 4: Simplify right side
    227.14x = 70,883.13
  5. Step 5: Solve for x
    x = 70,883.13/227.14
  6. Step 6: Final answer
    x = 312.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.