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Finding the Fourth Proportional to 223.83, 334.12 and 206.91

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Solution

The fourth proportional to 223.83, 334.12 and 206.91 is: 308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 334.12 = 206.91 : x
  2. Step 2: Convert to fraction form
    223.83/334.12 = 206.91/x
  3. Step 3: Cross multiply
    223.83x = 334.12 × 206.91
  4. Step 4: Simplify right side
    223.83x = 69,132.07
  5. Step 5: Solve for x
    x = 69,132.07/223.83
  6. Step 6: Final answer
    x = 308.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.