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Finding the Fourth Proportional to 247.70, 369.96 and 207.12

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Solution

The fourth proportional to 247.70, 369.96 and 207.12 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 369.96 = 207.12 : x
  2. Step 2: Convert to fraction form
    247.70/369.96 = 207.12/x
  3. Step 3: Cross multiply
    247.70x = 369.96 × 207.12
  4. Step 4: Simplify right side
    247.70x = 76,626.12
  5. Step 5: Solve for x
    x = 76,626.12/247.70
  6. Step 6: Final answer
    x = 309.35

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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.