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Finding the Fourth Proportional to 319.62, 477.39 and 276.42

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Solution

The fourth proportional to 319.62, 477.39 and 276.42 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 477.39 = 276.42 : x
  2. Step 2: Convert to fraction form
    319.62/477.39 = 276.42/x
  3. Step 3: Cross multiply
    319.62x = 477.39 × 276.42
  4. Step 4: Simplify right side
    319.62x = 131,960.14
  5. Step 5: Solve for x
    x = 131,960.14/319.62
  6. Step 6: Final answer
    x = 412.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.