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Finding the Fourth Proportional to 398.29, 596.74 and 383.31

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Solution

The fourth proportional to 398.29, 596.74 and 383.31 is: 574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.29 : 596.74 = 383.31 : x
  2. Step 2: Convert to fraction form
    398.29/596.74 = 383.31/x
  3. Step 3: Cross multiply
    398.29x = 596.74 × 383.31
  4. Step 4: Simplify right side
    398.29x = 228,736.41
  5. Step 5: Solve for x
    x = 228,736.41/398.29
  6. Step 6: Final answer
    x = 574.30

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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.