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Finding the Fourth Proportional to 313.49, 470.64 and 191.99

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Solution

The fourth proportional to 313.49, 470.64 and 191.99 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.64 = 191.99 : x
  2. Step 2: Convert to fraction form
    313.49/470.64 = 191.99/x
  3. Step 3: Cross multiply
    313.49x = 470.64 × 191.99
  4. Step 4: Simplify right side
    313.49x = 90,355.82
  5. Step 5: Solve for x
    x = 90,355.82/313.49
  6. Step 6: Final answer
    x = 288.23

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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.