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Finding the Fourth Proportional to 397.62, 548.71 and 218.16

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Solution

The fourth proportional to 397.62, 548.71 and 218.16 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.62 : 548.71 = 218.16 : x
  2. Step 2: Convert to fraction form
    397.62/548.71 = 218.16/x
  3. Step 3: Cross multiply
    397.62x = 548.71 × 218.16
  4. Step 4: Simplify right side
    397.62x = 119,706.03
  5. Step 5: Solve for x
    x = 119,706.03/397.62
  6. Step 6: Final answer
    x = 301.06

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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.