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Finding the Fourth Proportional to 242.56, 334.63 and 196.09

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Solution

The fourth proportional to 242.56, 334.63 and 196.09 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 334.63 = 196.09 : x
  2. Step 2: Convert to fraction form
    242.56/334.63 = 196.09/x
  3. Step 3: Cross multiply
    242.56x = 334.63 × 196.09
  4. Step 4: Simplify right side
    242.56x = 65,617.01
  5. Step 5: Solve for x
    x = 65,617.01/242.56
  6. Step 6: Final answer
    x = 270.52

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Why These Related Problems?

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