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Finding the Fourth Proportional to 231.09, 345.06 and 190.59

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Solution

The fourth proportional to 231.09, 345.06 and 190.59 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 345.06 = 190.59 : x
  2. Step 2: Convert to fraction form
    231.09/345.06 = 190.59/x
  3. Step 3: Cross multiply
    231.09x = 345.06 × 190.59
  4. Step 4: Simplify right side
    231.09x = 65,764.99
  5. Step 5: Solve for x
    x = 65,764.99/231.09
  6. Step 6: Final answer
    x = 284.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.