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Finding the Fourth Proportional to 406.74, 610.38 and 190.30

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Solution

The fourth proportional to 406.74, 610.38 and 190.30 is: 285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.74 : 610.38 = 190.30 : x
  2. Step 2: Convert to fraction form
    406.74/610.38 = 190.30/x
  3. Step 3: Cross multiply
    406.74x = 610.38 × 190.30
  4. Step 4: Simplify right side
    406.74x = 116,155.31
  5. Step 5: Solve for x
    x = 116,155.31/406.74
  6. Step 6: Final answer
    x = 285.58

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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.