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Finding the Fourth Proportional to 328.11, 494.01 and 289.83

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Solution

The fourth proportional to 328.11, 494.01 and 289.83 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.11 : 494.01 = 289.83 : x
  2. Step 2: Convert to fraction form
    328.11/494.01 = 289.83/x
  3. Step 3: Cross multiply
    328.11x = 494.01 × 289.83
  4. Step 4: Simplify right side
    328.11x = 143,178.92
  5. Step 5: Solve for x
    x = 143,178.92/328.11
  6. Step 6: Final answer
    x = 436.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.