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Finding the Fourth Proportional to 397.97, 597.04 and 137.98

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Solution

The fourth proportional to 397.97, 597.04 and 137.98 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 597.04 = 137.98 : x
  2. Step 2: Convert to fraction form
    397.97/597.04 = 137.98/x
  3. Step 3: Cross multiply
    397.97x = 597.04 × 137.98
  4. Step 4: Simplify right side
    397.97x = 82,376.36
  5. Step 5: Solve for x
    x = 82,376.36/397.97
  6. Step 6: Final answer
    x = 206.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.