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Finding the Fourth Proportional to 247.70, 369.45 and 208.70

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Solution

The fourth proportional to 247.70, 369.45 and 208.70 is: 311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 369.45 = 208.70 : x
  2. Step 2: Convert to fraction form
    247.70/369.45 = 208.70/x
  3. Step 3: Cross multiply
    247.70x = 369.45 × 208.70
  4. Step 4: Simplify right side
    247.70x = 77,103.17
  5. Step 5: Solve for x
    x = 77,103.17/247.70
  6. Step 6: Final answer
    x = 311.28

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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.