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Finding the Fourth Proportional to 513.52, 769.91 and 239.22

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Solution

The fourth proportional to 513.52, 769.91 and 239.22 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 769.91 = 239.22 : x
  2. Step 2: Convert to fraction form
    513.52/769.91 = 239.22/x
  3. Step 3: Cross multiply
    513.52x = 769.91 × 239.22
  4. Step 4: Simplify right side
    513.52x = 184,176.67
  5. Step 5: Solve for x
    x = 184,176.67/513.52
  6. Step 6: Final answer
    x = 358.66

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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.