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Finding the Fourth Proportional to 246.58, 367.69 and 212.56

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Solution

The fourth proportional to 246.58, 367.69 and 212.56 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.58 : 367.69 = 212.56 : x
  2. Step 2: Convert to fraction form
    246.58/367.69 = 212.56/x
  3. Step 3: Cross multiply
    246.58x = 367.69 × 212.56
  4. Step 4: Simplify right side
    246.58x = 78,155.13
  5. Step 5: Solve for x
    x = 78,155.13/246.58
  6. Step 6: Final answer
    x = 316.96

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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.