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Finding the Fourth Proportional to 213.96, 320.64 and 111.04

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Solution

The fourth proportional to 213.96, 320.64 and 111.04 is: 166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 320.64 = 111.04 : x
  2. Step 2: Convert to fraction form
    213.96/320.64 = 111.04/x
  3. Step 3: Cross multiply
    213.96x = 320.64 × 111.04
  4. Step 4: Simplify right side
    213.96x = 35,603.27
  5. Step 5: Solve for x
    x = 35,603.27/213.96
  6. Step 6: Final answer
    x = 166.40

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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.