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Finding the Fourth Proportional to 228.14, 313.11 and 204.29

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Solution

The fourth proportional to 228.14, 313.11 and 204.29 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 313.11 = 204.29 : x
  2. Step 2: Convert to fraction form
    228.14/313.11 = 204.29/x
  3. Step 3: Cross multiply
    228.14x = 313.11 × 204.29
  4. Step 4: Simplify right side
    228.14x = 63,964.22
  5. Step 5: Solve for x
    x = 63,964.22/228.14
  6. Step 6: Final answer
    x = 280.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.