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Finding the Fourth Proportional to 266.87, 365.84 and 262.61

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Solution

The fourth proportional to 266.87, 365.84 and 262.61 is: 360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 365.84 = 262.61 : x
  2. Step 2: Convert to fraction form
    266.87/365.84 = 262.61/x
  3. Step 3: Cross multiply
    266.87x = 365.84 × 262.61
  4. Step 4: Simplify right side
    266.87x = 96,070.10
  5. Step 5: Solve for x
    x = 96,070.10/266.87
  6. Step 6: Final answer
    x = 360.00

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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.