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Finding the Fourth Proportional to 242.97, 364.44 and 127.38

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Solution

The fourth proportional to 242.97, 364.44 and 127.38 is: 191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 364.44 = 127.38 : x
  2. Step 2: Convert to fraction form
    242.97/364.44 = 127.38/x
  3. Step 3: Cross multiply
    242.97x = 364.44 × 127.38
  4. Step 4: Simplify right side
    242.97x = 46,422.37
  5. Step 5: Solve for x
    x = 46,422.37/242.97
  6. Step 6: Final answer
    x = 191.06

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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.