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Finding the Fourth Proportional to 340.73, 470.20 and 185.48

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Solution

The fourth proportional to 340.73, 470.20 and 185.48 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.73 : 470.20 = 185.48 : x
  2. Step 2: Convert to fraction form
    340.73/470.20 = 185.48/x
  3. Step 3: Cross multiply
    340.73x = 470.20 × 185.48
  4. Step 4: Simplify right side
    340.73x = 87,212.70
  5. Step 5: Solve for x
    x = 87,212.70/340.73
  6. Step 6: Final answer
    x = 255.96

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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.