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Finding the Fourth Proportional to 398.92, 599.48 and 236.64

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Solution

The fourth proportional to 398.92, 599.48 and 236.64 is: 355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 599.48 = 236.64 : x
  2. Step 2: Convert to fraction form
    398.92/599.48 = 236.64/x
  3. Step 3: Cross multiply
    398.92x = 599.48 × 236.64
  4. Step 4: Simplify right side
    398.92x = 141,860.95
  5. Step 5: Solve for x
    x = 141,860.95/398.92
  6. Step 6: Final answer
    x = 355.61

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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.