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Finding the Fourth Proportional to 246.32, 340.20 and 212.24

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Solution

The fourth proportional to 246.32, 340.20 and 212.24 is: 293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 340.20 = 212.24 : x
  2. Step 2: Convert to fraction form
    246.32/340.20 = 212.24/x
  3. Step 3: Cross multiply
    246.32x = 340.20 × 212.24
  4. Step 4: Simplify right side
    246.32x = 72,204.05
  5. Step 5: Solve for x
    x = 72,204.05/246.32
  6. Step 6: Final answer
    x = 293.13

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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.