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Finding the Fourth Proportional to 246.60, 371.43 and 206.64

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Solution

The fourth proportional to 246.60, 371.43 and 206.64 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.60 : 371.43 = 206.64 : x
  2. Step 2: Convert to fraction form
    246.60/371.43 = 206.64/x
  3. Step 3: Cross multiply
    246.60x = 371.43 × 206.64
  4. Step 4: Simplify right side
    246.60x = 76,752.30
  5. Step 5: Solve for x
    x = 76,752.30/246.60
  6. Step 6: Final answer
    x = 311.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.