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Finding the Fourth Proportional to 513.24, 769.31 and 239.10

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Solution

The fourth proportional to 513.24, 769.31 and 239.10 is: 358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 769.31 = 239.10 : x
  2. Step 2: Convert to fraction form
    513.24/769.31 = 239.10/x
  3. Step 3: Cross multiply
    513.24x = 769.31 × 239.10
  4. Step 4: Simplify right side
    513.24x = 183,942.62
  5. Step 5: Solve for x
    x = 183,942.62/513.24
  6. Step 6: Final answer
    x = 358.40

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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.