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Finding the Fourth Proportional to 358.67, 491.79 and 323.56

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Solution

The fourth proportional to 358.67, 491.79 and 323.56 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.67 : 491.79 = 323.56 : x
  2. Step 2: Convert to fraction form
    358.67/491.79 = 323.56/x
  3. Step 3: Cross multiply
    358.67x = 491.79 × 323.56
  4. Step 4: Simplify right side
    358.67x = 159,123.57
  5. Step 5: Solve for x
    x = 159,123.57/358.67
  6. Step 6: Final answer
    x = 443.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.