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Finding the Fourth Proportional to 220.70, 304.17 and 168.13

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Solution

The fourth proportional to 220.70, 304.17 and 168.13 is: 231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.70 : 304.17 = 168.13 : x
  2. Step 2: Convert to fraction form
    220.70/304.17 = 168.13/x
  3. Step 3: Cross multiply
    220.70x = 304.17 × 168.13
  4. Step 4: Simplify right side
    220.70x = 51,140.10
  5. Step 5: Solve for x
    x = 51,140.10/220.70
  6. Step 6: Final answer
    x = 231.72

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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.