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Finding the Fourth Proportional to 247.20, 369.21 and 213.08

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Solution

The fourth proportional to 247.20, 369.21 and 213.08 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 369.21 = 213.08 : x
  2. Step 2: Convert to fraction form
    247.20/369.21 = 213.08/x
  3. Step 3: Cross multiply
    247.20x = 369.21 × 213.08
  4. Step 4: Simplify right side
    247.20x = 78,671.27
  5. Step 5: Solve for x
    x = 78,671.27/247.20
  6. Step 6: Final answer
    x = 318.25

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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.