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Finding the Fourth Proportional to 328.92, 491.24 and 298.68

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Solution

The fourth proportional to 328.92, 491.24 and 298.68 is: 446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 491.24 = 298.68 : x
  2. Step 2: Convert to fraction form
    328.92/491.24 = 298.68/x
  3. Step 3: Cross multiply
    328.92x = 491.24 × 298.68
  4. Step 4: Simplify right side
    328.92x = 146,723.56
  5. Step 5: Solve for x
    x = 146,723.56/328.92
  6. Step 6: Final answer
    x = 446.08

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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.