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Finding the Fourth Proportional to 328.04, 491.39 and 154.46

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Solution

The fourth proportional to 328.04, 491.39 and 154.46 is: 231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.04 : 491.39 = 154.46 : x
  2. Step 2: Convert to fraction form
    328.04/491.39 = 154.46/x
  3. Step 3: Cross multiply
    328.04x = 491.39 × 154.46
  4. Step 4: Simplify right side
    328.04x = 75,896.87
  5. Step 5: Solve for x
    x = 75,896.87/328.04
  6. Step 6: Final answer
    x = 231.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.