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Finding the Fourth Proportional to 255.55, 350.20 and 230.94

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Solution

The fourth proportional to 255.55, 350.20 and 230.94 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.55 : 350.20 = 230.94 : x
  2. Step 2: Convert to fraction form
    255.55/350.20 = 230.94/x
  3. Step 3: Cross multiply
    255.55x = 350.20 × 230.94
  4. Step 4: Simplify right side
    255.55x = 80,874.83
  5. Step 5: Solve for x
    x = 80,874.83/255.55
  6. Step 6: Final answer
    x = 316.48

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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.