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Finding the Fourth Proportional to 329.64, 454.91 and 189.76

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Solution

The fourth proportional to 329.64, 454.91 and 189.76 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.64 : 454.91 = 189.76 : x
  2. Step 2: Convert to fraction form
    329.64/454.91 = 189.76/x
  3. Step 3: Cross multiply
    329.64x = 454.91 × 189.76
  4. Step 4: Simplify right side
    329.64x = 86,323.34
  5. Step 5: Solve for x
    x = 86,323.34/329.64
  6. Step 6: Final answer
    x = 261.87

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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.