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Finding the Fourth Proportional to 247.52, 369.28 and 209.28

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Solution

The fourth proportional to 247.52, 369.28 and 209.28 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.52 : 369.28 = 209.28 : x
  2. Step 2: Convert to fraction form
    247.52/369.28 = 209.28/x
  3. Step 3: Cross multiply
    247.52x = 369.28 × 209.28
  4. Step 4: Simplify right side
    247.52x = 77,282.92
  5. Step 5: Solve for x
    x = 77,282.92/247.52
  6. Step 6: Final answer
    x = 312.23

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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.