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Finding the Fourth Proportional to 229.06, 313.67 and 219.88

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Solution

The fourth proportional to 229.06, 313.67 and 219.88 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 313.67 = 219.88 : x
  2. Step 2: Convert to fraction form
    229.06/313.67 = 219.88/x
  3. Step 3: Cross multiply
    229.06x = 313.67 × 219.88
  4. Step 4: Simplify right side
    229.06x = 68,969.76
  5. Step 5: Solve for x
    x = 68,969.76/229.06
  6. Step 6: Final answer
    x = 301.10

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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.