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Finding the Fourth Proportional to 401.24, 601.42 and 195.37

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Solution

The fourth proportional to 401.24, 601.42 and 195.37 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 601.42 = 195.37 : x
  2. Step 2: Convert to fraction form
    401.24/601.42 = 195.37/x
  3. Step 3: Cross multiply
    401.24x = 601.42 × 195.37
  4. Step 4: Simplify right side
    401.24x = 117,497.43
  5. Step 5: Solve for x
    x = 117,497.43/401.24
  6. Step 6: Final answer
    x = 292.84

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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.