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Finding the Fourth Proportional to 313.39, 469.94 and 107.89

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Solution

The fourth proportional to 313.39, 469.94 and 107.89 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.39 : 469.94 = 107.89 : x
  2. Step 2: Convert to fraction form
    313.39/469.94 = 107.89/x
  3. Step 3: Cross multiply
    313.39x = 469.94 × 107.89
  4. Step 4: Simplify right side
    313.39x = 50,698.94
  5. Step 5: Solve for x
    x = 50,698.94/313.39
  6. Step 6: Final answer
    x = 161.78

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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.