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Finding the Fourth Proportional to 513.17, 769.47 and 239.19

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Solution

The fourth proportional to 513.17, 769.47 and 239.19 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.17 : 769.47 = 239.19 : x
  2. Step 2: Convert to fraction form
    513.17/769.47 = 239.19/x
  3. Step 3: Cross multiply
    513.17x = 769.47 × 239.19
  4. Step 4: Simplify right side
    513.17x = 184,049.53
  5. Step 5: Solve for x
    x = 184,049.53/513.17
  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.