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Finding the Fourth Proportional to 242.78, 364.98 and 161.78

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Solution

The fourth proportional to 242.78, 364.98 and 161.78 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 364.98 = 161.78 : x
  2. Step 2: Convert to fraction form
    242.78/364.98 = 161.78/x
  3. Step 3: Cross multiply
    242.78x = 364.98 × 161.78
  4. Step 4: Simplify right side
    242.78x = 59,046.46
  5. Step 5: Solve for x
    x = 59,046.46/242.78
  6. Step 6: Final answer
    x = 243.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.