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Finding the Fourth Proportional to 398.38, 597.56 and 109.81

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Solution

The fourth proportional to 398.38, 597.56 and 109.81 is: 164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.38 : 597.56 = 109.81 : x
  2. Step 2: Convert to fraction form
    398.38/597.56 = 109.81/x
  3. Step 3: Cross multiply
    398.38x = 597.56 × 109.81
  4. Step 4: Simplify right side
    398.38x = 65,618.06
  5. Step 5: Solve for x
    x = 65,618.06/398.38
  6. Step 6: Final answer
    x = 164.71

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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.