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Finding the Fourth Proportional to 398.14, 597.10 and 138.00

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Solution

The fourth proportional to 398.14, 597.10 and 138.00 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 597.10 = 138.00 : x
  2. Step 2: Convert to fraction form
    398.14/597.10 = 138.00/x
  3. Step 3: Cross multiply
    398.14x = 597.10 × 138.00
  4. Step 4: Simplify right side
    398.14x = 82,401.56
  5. Step 5: Solve for x
    x = 82,401.56/398.14
  6. Step 6: Final answer
    x = 206.97

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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.