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Finding the Fourth Proportional to 398.44, 599.83 and 358.75

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Solution

The fourth proportional to 398.44, 599.83 and 358.75 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.44 : 599.83 = 358.75 : x
  2. Step 2: Convert to fraction form
    398.44/599.83 = 358.75/x
  3. Step 3: Cross multiply
    398.44x = 599.83 × 358.75
  4. Step 4: Simplify right side
    398.44x = 215,189.01
  5. Step 5: Solve for x
    x = 215,189.01/398.44
  6. Step 6: Final answer
    x = 540.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.