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Finding the Fourth Proportional to 313.97, 471.49 and 192.94

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Solution

The fourth proportional to 313.97, 471.49 and 192.94 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.97 : 471.49 = 192.94 : x
  2. Step 2: Convert to fraction form
    313.97/471.49 = 192.94/x
  3. Step 3: Cross multiply
    313.97x = 471.49 × 192.94
  4. Step 4: Simplify right side
    313.97x = 90,967.62
  5. Step 5: Solve for x
    x = 90,967.62/313.97
  6. Step 6: Final answer
    x = 289.74

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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.