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Finding the Fourth Proportional to 213.96, 320.78 and 105.66

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Solution

The fourth proportional to 213.96, 320.78 and 105.66 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 320.78 = 105.66 : x
  2. Step 2: Convert to fraction form
    213.96/320.78 = 105.66/x
  3. Step 3: Cross multiply
    213.96x = 320.78 × 105.66
  4. Step 4: Simplify right side
    213.96x = 33,893.61
  5. Step 5: Solve for x
    x = 33,893.61/213.96
  6. Step 6: Final answer
    x = 158.41

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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.