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Finding the Fourth Proportional to 401.90, 599.39 and 363.02

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Solution

The fourth proportional to 401.90, 599.39 and 363.02 is: 541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 599.39 = 363.02 : x
  2. Step 2: Convert to fraction form
    401.90/599.39 = 363.02/x
  3. Step 3: Cross multiply
    401.90x = 599.39 × 363.02
  4. Step 4: Simplify right side
    401.90x = 217,590.56
  5. Step 5: Solve for x
    x = 217,590.56/401.90
  6. Step 6: Final answer
    x = 541.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.