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Finding the Fourth Proportional to 247.52, 369.73 and 242.97

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Solution

The fourth proportional to 247.52, 369.73 and 242.97 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.52 : 369.73 = 242.97 : x
  2. Step 2: Convert to fraction form
    247.52/369.73 = 242.97/x
  3. Step 3: Cross multiply
    247.52x = 369.73 × 242.97
  4. Step 4: Simplify right side
    247.52x = 89,830.23
  5. Step 5: Solve for x
    x = 89,830.23/247.52
  6. Step 6: Final answer
    x = 362.92

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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.