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Finding the Fourth Proportional to 395.84, 594.30 and 298.64

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Solution

The fourth proportional to 395.84, 594.30 and 298.64 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 594.30 = 298.64 : x
  2. Step 2: Convert to fraction form
    395.84/594.30 = 298.64/x
  3. Step 3: Cross multiply
    395.84x = 594.30 × 298.64
  4. Step 4: Simplify right side
    395.84x = 177,481.75
  5. Step 5: Solve for x
    x = 177,481.75/395.84
  6. Step 6: Final answer
    x = 448.37

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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.