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Finding the Fourth Proportional to 266.25, 366.21 and 233.45

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Solution

The fourth proportional to 266.25, 366.21 and 233.45 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 366.21 = 233.45 : x
  2. Step 2: Convert to fraction form
    266.25/366.21 = 233.45/x
  3. Step 3: Cross multiply
    266.25x = 366.21 × 233.45
  4. Step 4: Simplify right side
    266.25x = 85,489.89
  5. Step 5: Solve for x
    x = 85,489.89/266.25
  6. Step 6: Final answer
    x = 321.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.