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Finding the Fourth Proportional to 247.24, 340.74 and 212.68

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Solution

The fourth proportional to 247.24, 340.74 and 212.68 is: 293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.24 : 340.74 = 212.68 : x
  2. Step 2: Convert to fraction form
    247.24/340.74 = 212.68/x
  3. Step 3: Cross multiply
    247.24x = 340.74 × 212.68
  4. Step 4: Simplify right side
    247.24x = 72,468.58
  5. Step 5: Solve for x
    x = 72,468.58/247.24
  6. Step 6: Final answer
    x = 293.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.