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Finding the Fourth Proportional to 246.57, 368.78 and 201.21

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Solution

The fourth proportional to 246.57, 368.78 and 201.21 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.57 : 368.78 = 201.21 : x
  2. Step 2: Convert to fraction form
    246.57/368.78 = 201.21/x
  3. Step 3: Cross multiply
    246.57x = 368.78 × 201.21
  4. Step 4: Simplify right side
    246.57x = 74,201.22
  5. Step 5: Solve for x
    x = 74,201.22/246.57
  6. Step 6: Final answer
    x = 300.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.