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Finding the Fourth Proportional to 313.76, 470.82 and 169.64

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Solution

The fourth proportional to 313.76, 470.82 and 169.64 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 470.82 = 169.64 : x
  2. Step 2: Convert to fraction form
    313.76/470.82 = 169.64/x
  3. Step 3: Cross multiply
    313.76x = 470.82 × 169.64
  4. Step 4: Simplify right side
    313.76x = 79,869.90
  5. Step 5: Solve for x
    x = 79,869.90/313.76
  6. Step 6: Final answer
    x = 254.56

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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.