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Finding the Fourth Proportional to 266.06, 365.22 and 254.79

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Solution

The fourth proportional to 266.06, 365.22 and 254.79 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 365.22 = 254.79 : x
  2. Step 2: Convert to fraction form
    266.06/365.22 = 254.79/x
  3. Step 3: Cross multiply
    266.06x = 365.22 × 254.79
  4. Step 4: Simplify right side
    266.06x = 93,054.40
  5. Step 5: Solve for x
    x = 93,054.40/266.06
  6. Step 6: Final answer
    x = 349.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.