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Finding the Fourth Proportional to 213.83, 320.69 and 76.85

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Solution

The fourth proportional to 213.83, 320.69 and 76.85 is: 115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 320.69 = 76.85 : x
  2. Step 2: Convert to fraction form
    213.83/320.69 = 76.85/x
  3. Step 3: Cross multiply
    213.83x = 320.69 × 76.85
  4. Step 4: Simplify right side
    213.83x = 24,646.02
  5. Step 5: Solve for x
    x = 24,646.02/213.83
  6. Step 6: Final answer
    x = 115.26

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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.