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Finding the Fourth Proportional to 329.46, 491.58 and 298.68

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Solution

The fourth proportional to 329.46, 491.58 and 298.68 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.46 : 491.58 = 298.68 : x
  2. Step 2: Convert to fraction form
    329.46/491.58 = 298.68/x
  3. Step 3: Cross multiply
    329.46x = 491.58 × 298.68
  4. Step 4: Simplify right side
    329.46x = 146,825.11
  5. Step 5: Solve for x
    x = 146,825.11/329.46
  6. Step 6: Final answer
    x = 445.65

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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.