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Finding the Fourth Proportional to 246.75, 340.25 and 203.01

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Solution

The fourth proportional to 246.75, 340.25 and 203.01 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.75 : 340.25 = 203.01 : x
  2. Step 2: Convert to fraction form
    246.75/340.25 = 203.01/x
  3. Step 3: Cross multiply
    246.75x = 340.25 × 203.01
  4. Step 4: Simplify right side
    246.75x = 69,073.14
  5. Step 5: Solve for x
    x = 69,073.14/246.75
  6. Step 6: Final answer
    x = 279.93

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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.