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Finding the Fourth Proportional to 328.96, 453.92 and 189.09

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Solution

The fourth proportional to 328.96, 453.92 and 189.09 is: 260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 453.92 = 189.09 : x
  2. Step 2: Convert to fraction form
    328.96/453.92 = 189.09/x
  3. Step 3: Cross multiply
    328.96x = 453.92 × 189.09
  4. Step 4: Simplify right side
    328.96x = 85,831.73
  5. Step 5: Solve for x
    x = 85,831.73/328.96
  6. Step 6: Final answer
    x = 260.92

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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.