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Finding the Fourth Proportional to 340.82, 470.28 and 200.90

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Solution

The fourth proportional to 340.82, 470.28 and 200.90 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 470.28 = 200.90 : x
  2. Step 2: Convert to fraction form
    340.82/470.28 = 200.90/x
  3. Step 3: Cross multiply
    340.82x = 470.28 × 200.90
  4. Step 4: Simplify right side
    340.82x = 94,479.25
  5. Step 5: Solve for x
    x = 94,479.25/340.82
  6. Step 6: Final answer
    x = 277.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.