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Finding the Fourth Proportional to 314.70, 470.85 and 191.34

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Solution

The fourth proportional to 314.70, 470.85 and 191.34 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 470.85 = 191.34 : x
  2. Step 2: Convert to fraction form
    314.70/470.85 = 191.34/x
  3. Step 3: Cross multiply
    314.70x = 470.85 × 191.34
  4. Step 4: Simplify right side
    314.70x = 90,092.44
  5. Step 5: Solve for x
    x = 90,092.44/314.70
  6. Step 6: Final answer
    x = 286.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.