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Finding the Fourth Proportional to 398.88, 599.12 and 341.08

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Solution

The fourth proportional to 398.88, 599.12 and 341.08 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 599.12 = 341.08 : x
  2. Step 2: Convert to fraction form
    398.88/599.12 = 341.08/x
  3. Step 3: Cross multiply
    398.88x = 599.12 × 341.08
  4. Step 4: Simplify right side
    398.88x = 204,347.85
  5. Step 5: Solve for x
    x = 204,347.85/398.88
  6. Step 6: Final answer
    x = 512.30

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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.