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Finding the Fourth Proportional to 397.94, 599.42 and 367.86

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Solution

The fourth proportional to 397.94, 599.42 and 367.86 is: 554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 599.42 = 367.86 : x
  2. Step 2: Convert to fraction form
    397.94/599.42 = 367.86/x
  3. Step 3: Cross multiply
    397.94x = 599.42 × 367.86
  4. Step 4: Simplify right side
    397.94x = 220,503.56
  5. Step 5: Solve for x
    x = 220,503.56/397.94
  6. Step 6: Final answer
    x = 554.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.