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Finding the Fourth Proportional to 247.60, 369.60 and 213.60

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Solution

The fourth proportional to 247.60, 369.60 and 213.60 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.60 : 369.60 = 213.60 : x
  2. Step 2: Convert to fraction form
    247.60/369.60 = 213.60/x
  3. Step 3: Cross multiply
    247.60x = 369.60 × 213.60
  4. Step 4: Simplify right side
    247.60x = 78,946.56
  5. Step 5: Solve for x
    x = 78,946.56/247.60
  6. Step 6: Final answer
    x = 318.85

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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.