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Finding the Fourth Proportional to 433.92, 650.91 and 239.07

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Solution

The fourth proportional to 433.92, 650.91 and 239.07 is: 358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 650.91 = 239.07 : x
  2. Step 2: Convert to fraction form
    433.92/650.91 = 239.07/x
  3. Step 3: Cross multiply
    433.92x = 650.91 × 239.07
  4. Step 4: Simplify right side
    433.92x = 155,613.05
  5. Step 5: Solve for x
    x = 155,613.05/433.92
  6. Step 6: Final answer
    x = 358.62

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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.