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Finding the Fourth Proportional to 313.11, 469.65 and 107.68

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Solution

The fourth proportional to 313.11, 469.65 and 107.68 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 469.65 = 107.68 : x
  2. Step 2: Convert to fraction form
    313.11/469.65 = 107.68/x
  3. Step 3: Cross multiply
    313.11x = 469.65 × 107.68
  4. Step 4: Simplify right side
    313.11x = 50,571.91
  5. Step 5: Solve for x
    x = 50,571.91/313.11
  6. Step 6: Final answer
    x = 161.51

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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.