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Finding the Fourth Proportional to 255, 351.36 and 205.80

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Solution

The fourth proportional to 255, 351.36 and 205.80 is: 283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 351.36 = 205.80 : x
  2. Step 2: Convert to fraction form
    255/351.36 = 205.80/x
  3. Step 3: Cross multiply
    255x = 351.36 × 205.80
  4. Step 4: Simplify right side
    255x = 72,309.89
  5. Step 5: Solve for x
    x = 72,309.89/255
  6. Step 6: Final answer
    x = 283.57

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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.