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Finding the Fourth Proportional to 397.91, 596.85 and 109.35

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Solution

The fourth proportional to 397.91, 596.85 and 109.35 is: 164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.91 : 596.85 = 109.35 : x
  2. Step 2: Convert to fraction form
    397.91/596.85 = 109.35/x
  3. Step 3: Cross multiply
    397.91x = 596.85 × 109.35
  4. Step 4: Simplify right side
    397.91x = 65,265.55
  5. Step 5: Solve for x
    x = 65,265.55/397.91
  6. Step 6: Final answer
    x = 164.02

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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.