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Finding the Fourth Proportional to 406.84, 610.42 and 190.44

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Solution

The fourth proportional to 406.84, 610.42 and 190.44 is: 285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.84 : 610.42 = 190.44 : x
  2. Step 2: Convert to fraction form
    406.84/610.42 = 190.44/x
  3. Step 3: Cross multiply
    406.84x = 610.42 × 190.44
  4. Step 4: Simplify right side
    406.84x = 116,248.38
  5. Step 5: Solve for x
    x = 116,248.38/406.84
  6. Step 6: Final answer
    x = 285.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.