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Finding the Fourth Proportional to 329.71, 454.99 and 189.81

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Solution

The fourth proportional to 329.71, 454.99 and 189.81 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.71 : 454.99 = 189.81 : x
  2. Step 2: Convert to fraction form
    329.71/454.99 = 189.81/x
  3. Step 3: Cross multiply
    329.71x = 454.99 × 189.81
  4. Step 4: Simplify right side
    329.71x = 86,361.65
  5. Step 5: Solve for x
    x = 86,361.65/329.71
  6. Step 6: Final answer
    x = 261.93

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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.