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Finding the Fourth Proportional to 266.78, 364.90 and 262.54

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Solution

The fourth proportional to 266.78, 364.90 and 262.54 is: 359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 364.90 = 262.54 : x
  2. Step 2: Convert to fraction form
    266.78/364.90 = 262.54/x
  3. Step 3: Cross multiply
    266.78x = 364.90 × 262.54
  4. Step 4: Simplify right side
    266.78x = 95,800.85
  5. Step 5: Solve for x
    x = 95,800.85/266.78
  6. Step 6: Final answer
    x = 359.10

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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.