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Finding the Fourth Proportional to 266.55, 365.69 and 264.44

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Solution

The fourth proportional to 266.55, 365.69 and 264.44 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.55 : 365.69 = 264.44 : x
  2. Step 2: Convert to fraction form
    266.55/365.69 = 264.44/x
  3. Step 3: Cross multiply
    266.55x = 365.69 × 264.44
  4. Step 4: Simplify right side
    266.55x = 96,699.91
  5. Step 5: Solve for x
    x = 96,699.91/266.55
  6. Step 6: Final answer
    x = 362.78

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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.