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Finding the Fourth Proportional to 313.65, 470.14 and 191.99

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Solution

The fourth proportional to 313.65, 470.14 and 191.99 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.65 : 470.14 = 191.99 : x
  2. Step 2: Convert to fraction form
    313.65/470.14 = 191.99/x
  3. Step 3: Cross multiply
    313.65x = 470.14 × 191.99
  4. Step 4: Simplify right side
    313.65x = 90,262.87
  5. Step 5: Solve for x
    x = 90,262.87/313.65
  6. Step 6: Final answer
    x = 287.78

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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.