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Finding the Fourth Proportional to 213.47, 320.07 and 105.23

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Solution

The fourth proportional to 213.47, 320.07 and 105.23 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 320.07 = 105.23 : x
  2. Step 2: Convert to fraction form
    213.47/320.07 = 105.23/x
  3. Step 3: Cross multiply
    213.47x = 320.07 × 105.23
  4. Step 4: Simplify right side
    213.47x = 33,680.97
  5. Step 5: Solve for x
    x = 33,680.97/213.47
  6. Step 6: Final answer
    x = 157.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.