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Finding the Fourth Proportional to 313.55, 469.98 and 107.94

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Solution

The fourth proportional to 313.55, 469.98 and 107.94 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.55 : 469.98 = 107.94 : x
  2. Step 2: Convert to fraction form
    313.55/469.98 = 107.94/x
  3. Step 3: Cross multiply
    313.55x = 469.98 × 107.94
  4. Step 4: Simplify right side
    313.55x = 50,729.64
  5. Step 5: Solve for x
    x = 50,729.64/313.55
  6. Step 6: Final answer
    x = 161.79

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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.