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Finding the Fourth Proportional to 401.82, 599.21 and 398.17

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Solution

The fourth proportional to 401.82, 599.21 and 398.17 is: 593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 599.21 = 398.17 : x
  2. Step 2: Convert to fraction form
    401.82/599.21 = 398.17/x
  3. Step 3: Cross multiply
    401.82x = 599.21 × 398.17
  4. Step 4: Simplify right side
    401.82x = 238,587.45
  5. Step 5: Solve for x
    x = 238,587.45/401.82
  6. Step 6: Final answer
    x = 593.77

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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.