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Finding the Fourth Proportional to 246.30, 324.78 and 246.30

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Solution

The fourth proportional to 246.30, 324.78 and 246.30 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.30 : 324.78 = 246.30 : x
  2. Step 2: Convert to fraction form
    246.30/324.78 = 246.30/x
  3. Step 3: Cross multiply
    246.30x = 324.78 × 246.30
  4. Step 4: Simplify right side
    246.30x = 79,993.31
  5. Step 5: Solve for x
    x = 79,993.31/246.30
  6. Step 6: Final answer
    x = 324.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.