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Finding the Fourth Proportional to 242.20, 335.10 and 205.24

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Solution

The fourth proportional to 242.20, 335.10 and 205.24 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.20 : 335.10 = 205.24 : x
  2. Step 2: Convert to fraction form
    242.20/335.10 = 205.24/x
  3. Step 3: Cross multiply
    242.20x = 335.10 × 205.24
  4. Step 4: Simplify right side
    242.20x = 68,775.92
  5. Step 5: Solve for x
    x = 68,775.92/242.20
  6. Step 6: Final answer
    x = 283.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.