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Finding the Fourth Proportional to 213.66, 320.19 and 105.34

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Solution

The fourth proportional to 213.66, 320.19 and 105.34 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 320.19 = 105.34 : x
  2. Step 2: Convert to fraction form
    213.66/320.19 = 105.34/x
  3. Step 3: Cross multiply
    213.66x = 320.19 × 105.34
  4. Step 4: Simplify right side
    213.66x = 33,728.81
  5. Step 5: Solve for x
    x = 33,728.81/213.66
  6. Step 6: Final answer
    x = 157.86

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