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Finding the Fourth Proportional to 220.61, 305.03 and 217.14

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Solution

The fourth proportional to 220.61, 305.03 and 217.14 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 305.03 = 217.14 : x
  2. Step 2: Convert to fraction form
    220.61/305.03 = 217.14/x
  3. Step 3: Cross multiply
    220.61x = 305.03 × 217.14
  4. Step 4: Simplify right side
    220.61x = 66,233.13
  5. Step 5: Solve for x
    x = 66,233.13/220.61
  6. Step 6: Final answer
    x = 300.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.