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Finding the Fourth Proportional to 340.68, 470.24 and 200.78

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Solution

The fourth proportional to 340.68, 470.24 and 200.78 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 470.24 = 200.78 : x
  2. Step 2: Convert to fraction form
    340.68/470.24 = 200.78/x
  3. Step 3: Cross multiply
    340.68x = 470.24 × 200.78
  4. Step 4: Simplify right side
    340.68x = 94,414.96
  5. Step 5: Solve for x
    x = 94,414.96/340.68
  6. Step 6: Final answer
    x = 277.14

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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.