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Finding the Fourth Proportional to 313.87, 470.89 and 108.44

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Solution

The fourth proportional to 313.87, 470.89 and 108.44 is: 162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.87 : 470.89 = 108.44 : x
  2. Step 2: Convert to fraction form
    313.87/470.89 = 108.44/x
  3. Step 3: Cross multiply
    313.87x = 470.89 × 108.44
  4. Step 4: Simplify right side
    313.87x = 51,062.77
  5. Step 5: Solve for x
    x = 51,062.77/313.87
  6. Step 6: Final answer
    x = 162.69

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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.