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Finding the Fourth Proportional to 220.11, 305.14 and 215.65

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Solution

The fourth proportional to 220.11, 305.14 and 215.65 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.11 : 305.14 = 215.65 : x
  2. Step 2: Convert to fraction form
    220.11/305.14 = 215.65/x
  3. Step 3: Cross multiply
    220.11x = 305.14 × 215.65
  4. Step 4: Simplify right side
    220.11x = 65,803.44
  5. Step 5: Solve for x
    x = 65,803.44/220.11
  6. Step 6: Final answer
    x = 298.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.