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Finding the Fourth Proportional to 329.74, 455.03 and 189.86

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Solution

The fourth proportional to 329.74, 455.03 and 189.86 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 455.03 = 189.86 : x
  2. Step 2: Convert to fraction form
    329.74/455.03 = 189.86/x
  3. Step 3: Cross multiply
    329.74x = 455.03 × 189.86
  4. Step 4: Simplify right side
    329.74x = 86,388.77
  5. Step 5: Solve for x
    x = 86,388.77/329.74
  6. Step 6: Final answer
    x = 261.99

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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.