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Finding the Fourth Proportional to 313.99, 433.34 and 189.71

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Solution

The fourth proportional to 313.99, 433.34 and 189.71 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.99 : 433.34 = 189.71 : x
  2. Step 2: Convert to fraction form
    313.99/433.34 = 189.71/x
  3. Step 3: Cross multiply
    313.99x = 433.34 × 189.71
  4. Step 4: Simplify right side
    313.99x = 82,208.93
  5. Step 5: Solve for x
    x = 82,208.93/313.99
  6. Step 6: Final answer
    x = 261.82

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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.