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Finding the Fourth Proportional to 247.14, 369.88 and 137.28

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Solution

The fourth proportional to 247.14, 369.88 and 137.28 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.14 : 369.88 = 137.28 : x
  2. Step 2: Convert to fraction form
    247.14/369.88 = 137.28/x
  3. Step 3: Cross multiply
    247.14x = 369.88 × 137.28
  4. Step 4: Simplify right side
    247.14x = 50,777.13
  5. Step 5: Solve for x
    x = 50,777.13/247.14
  6. Step 6: Final answer
    x = 205.46

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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.