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Finding the Fourth Proportional to 229.14, 314.33 and 221.31

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Solution

The fourth proportional to 229.14, 314.33 and 221.31 is: 303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.14 : 314.33 = 221.31 : x
  2. Step 2: Convert to fraction form
    229.14/314.33 = 221.31/x
  3. Step 3: Cross multiply
    229.14x = 314.33 × 221.31
  4. Step 4: Simplify right side
    229.14x = 69,563.27
  5. Step 5: Solve for x
    x = 69,563.27/229.14
  6. Step 6: Final answer
    x = 303.58

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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.