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Finding the Fourth Proportional to 329.21, 491.68 and 298.30

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Solution

The fourth proportional to 329.21, 491.68 and 298.30 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.21 : 491.68 = 298.30 : x
  2. Step 2: Convert to fraction form
    329.21/491.68 = 298.30/x
  3. Step 3: Cross multiply
    329.21x = 491.68 × 298.30
  4. Step 4: Simplify right side
    329.21x = 146,667.37
  5. Step 5: Solve for x
    x = 146,667.37/329.21
  6. Step 6: Final answer
    x = 445.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.