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Finding the Fourth Proportional to 397.80, 599.30 and 363.98

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Solution

The fourth proportional to 397.80, 599.30 and 363.98 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 599.30 = 363.98 : x
  2. Step 2: Convert to fraction form
    397.80/599.30 = 363.98/x
  3. Step 3: Cross multiply
    397.80x = 599.30 × 363.98
  4. Step 4: Simplify right side
    397.80x = 218,133.21
  5. Step 5: Solve for x
    x = 218,133.21/397.80
  6. Step 6: Final answer
    x = 548.35

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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.