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Finding the Fourth Proportional to 398.06, 597.02 and 109.44

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Solution

The fourth proportional to 398.06, 597.02 and 109.44 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 597.02 = 109.44 : x
  2. Step 2: Convert to fraction form
    398.06/597.02 = 109.44/x
  3. Step 3: Cross multiply
    398.06x = 597.02 × 109.44
  4. Step 4: Simplify right side
    398.06x = 65,337.87
  5. Step 5: Solve for x
    x = 65,337.87/398.06
  6. Step 6: Final answer
    x = 164.14

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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.