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Finding the Fourth Proportional to 246.95, 340.25 and 200.17

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Solution

The fourth proportional to 246.95, 340.25 and 200.17 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 340.25 = 200.17 : x
  2. Step 2: Convert to fraction form
    246.95/340.25 = 200.17/x
  3. Step 3: Cross multiply
    246.95x = 340.25 × 200.17
  4. Step 4: Simplify right side
    246.95x = 68,108.39
  5. Step 5: Solve for x
    x = 68,108.39/246.95
  6. Step 6: Final answer
    x = 275.80

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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.