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Finding the Fourth Proportional to 242.94, 362.36 and 203.97

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Solution

The fourth proportional to 242.94, 362.36 and 203.97 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 362.36 = 203.97 : x
  2. Step 2: Convert to fraction form
    242.94/362.36 = 203.97/x
  3. Step 3: Cross multiply
    242.94x = 362.36 × 203.97
  4. Step 4: Simplify right side
    242.94x = 73,910.57
  5. Step 5: Solve for x
    x = 73,910.57/242.94
  6. Step 6: Final answer
    x = 304.23

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Why These Related Problems?

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