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Finding the Fourth Proportional to 398.58, 596.49 and 353.22

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Solution

The fourth proportional to 398.58, 596.49 and 353.22 is: 528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 596.49 = 353.22 : x
  2. Step 2: Convert to fraction form
    398.58/596.49 = 353.22/x
  3. Step 3: Cross multiply
    398.58x = 596.49 × 353.22
  4. Step 4: Simplify right side
    398.58x = 210,692.20
  5. Step 5: Solve for x
    x = 210,692.20/398.58
  6. Step 6: Final answer
    x = 528.61

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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.