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Finding the Fourth Proportional to 401.94, 601.61 and 365.04

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Solution

The fourth proportional to 401.94, 601.61 and 365.04 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.94 : 601.61 = 365.04 : x
  2. Step 2: Convert to fraction form
    401.94/601.61 = 365.04/x
  3. Step 3: Cross multiply
    401.94x = 601.61 × 365.04
  4. Step 4: Simplify right side
    401.94x = 219,609.89
  5. Step 5: Solve for x
    x = 219,609.89/401.94
  6. Step 6: Final answer
    x = 546.37

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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.