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Finding the Fourth Proportional to 213.91, 320.63 and 111.15

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Solution

The fourth proportional to 213.91, 320.63 and 111.15 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 320.63 = 111.15 : x
  2. Step 2: Convert to fraction form
    213.91/320.63 = 111.15/x
  3. Step 3: Cross multiply
    213.91x = 320.63 × 111.15
  4. Step 4: Simplify right side
    213.91x = 35,637.47
  5. Step 5: Solve for x
    x = 35,637.47/213.91
  6. Step 6: Final answer
    x = 166.60

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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.