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Finding the Fourth Proportional to 313.99, 433.52 and 196.01

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Solution

The fourth proportional to 313.99, 433.52 and 196.01 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.99 : 433.52 = 196.01 : x
  2. Step 2: Convert to fraction form
    313.99/433.52 = 196.01/x
  3. Step 3: Cross multiply
    313.99x = 433.52 × 196.01
  4. Step 4: Simplify right side
    313.99x = 84,974.26
  5. Step 5: Solve for x
    x = 84,974.26/313.99
  6. Step 6: Final answer
    x = 270.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.