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Finding the Fourth Proportional to 398.03, 547.74 and 367.25

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Solution

The fourth proportional to 398.03, 547.74 and 367.25 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.03 : 547.74 = 367.25 : x
  2. Step 2: Convert to fraction form
    398.03/547.74 = 367.25/x
  3. Step 3: Cross multiply
    398.03x = 547.74 × 367.25
  4. Step 4: Simplify right side
    398.03x = 201,157.52
  5. Step 5: Solve for x
    x = 201,157.52/398.03
  6. Step 6: Final answer
    x = 505.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.