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Finding the Fourth Proportional to 266.56, 396.92 and 259.68

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Solution

The fourth proportional to 266.56, 396.92 and 259.68 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 396.92 = 259.68 : x
  2. Step 2: Convert to fraction form
    266.56/396.92 = 259.68/x
  3. Step 3: Cross multiply
    266.56x = 396.92 × 259.68
  4. Step 4: Simplify right side
    266.56x = 103,072.19
  5. Step 5: Solve for x
    x = 103,072.19/266.56
  6. Step 6: Final answer
    x = 386.68

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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.