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Finding the Fourth Proportional to 242.69, 334.97 and 154.22

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Solution

The fourth proportional to 242.69, 334.97 and 154.22 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.69 : 334.97 = 154.22 : x
  2. Step 2: Convert to fraction form
    242.69/334.97 = 154.22/x
  3. Step 3: Cross multiply
    242.69x = 334.97 × 154.22
  4. Step 4: Simplify right side
    242.69x = 51,659.09
  5. Step 5: Solve for x
    x = 51,659.09/242.69
  6. Step 6: Final answer
    x = 212.86

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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.