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Finding the Fourth Proportional to 398.32, 596.66 and 350.54

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Solution

The fourth proportional to 398.32, 596.66 and 350.54 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 596.66 = 350.54 : x
  2. Step 2: Convert to fraction form
    398.32/596.66 = 350.54/x
  3. Step 3: Cross multiply
    398.32x = 596.66 × 350.54
  4. Step 4: Simplify right side
    398.32x = 209,153.20
  5. Step 5: Solve for x
    x = 209,153.20/398.32
  6. Step 6: Final answer
    x = 525.09

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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.