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Finding the Fourth Proportional to 299.41, 412.92 and 212.47

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Solution

The fourth proportional to 299.41, 412.92 and 212.47 is: 293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 412.92 = 212.47 : x
  2. Step 2: Convert to fraction form
    299.41/412.92 = 212.47/x
  3. Step 3: Cross multiply
    299.41x = 412.92 × 212.47
  4. Step 4: Simplify right side
    299.41x = 87,733.11
  5. Step 5: Solve for x
    x = 87,733.11/299.41
  6. Step 6: Final answer
    x = 293.02

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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.