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Finding the Fourth Proportional to 397.53, 547.88 and 352.26

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Solution

The fourth proportional to 397.53, 547.88 and 352.26 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 547.88 = 352.26 : x
  2. Step 2: Convert to fraction form
    397.53/547.88 = 352.26/x
  3. Step 3: Cross multiply
    397.53x = 547.88 × 352.26
  4. Step 4: Simplify right side
    397.53x = 192,996.21
  5. Step 5: Solve for x
    x = 192,996.21/397.53
  6. Step 6: Final answer
    x = 485.49

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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.