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Finding the Fourth Proportional to 397.62, 550.94 and 388.98

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Solution

The fourth proportional to 397.62, 550.94 and 388.98 is: 538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.62 : 550.94 = 388.98 : x
  2. Step 2: Convert to fraction form
    397.62/550.94 = 388.98/x
  3. Step 3: Cross multiply
    397.62x = 550.94 × 388.98
  4. Step 4: Simplify right side
    397.62x = 214,302.70
  5. Step 5: Solve for x
    x = 214,302.70/397.62
  6. Step 6: Final answer
    x = 538.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.