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Finding the Fourth Proportional to 313.74, 470.52 and 205.56

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Solution

The fourth proportional to 313.74, 470.52 and 205.56 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 470.52 = 205.56 : x
  2. Step 2: Convert to fraction form
    313.74/470.52 = 205.56/x
  3. Step 3: Cross multiply
    313.74x = 470.52 × 205.56
  4. Step 4: Simplify right side
    313.74x = 96,720.09
  5. Step 5: Solve for x
    x = 96,720.09/313.74
  6. Step 6: Final answer
    x = 308.28

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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.