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Finding the Fourth Proportional to 313.35, 469.88 and 107.85

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Solution

The fourth proportional to 313.35, 469.88 and 107.85 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.35 : 469.88 = 107.85 : x
  2. Step 2: Convert to fraction form
    313.35/469.88 = 107.85/x
  3. Step 3: Cross multiply
    313.35x = 469.88 × 107.85
  4. Step 4: Simplify right side
    313.35x = 50,676.02
  5. Step 5: Solve for x
    x = 50,676.02/313.35
  6. Step 6: Final answer
    x = 161.72

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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.