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Finding the Fourth Proportional to 255.69, 352.91 and 150.80

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Solution

The fourth proportional to 255.69, 352.91 and 150.80 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 352.91 = 150.80 : x
  2. Step 2: Convert to fraction form
    255.69/352.91 = 150.80/x
  3. Step 3: Cross multiply
    255.69x = 352.91 × 150.80
  4. Step 4: Simplify right side
    255.69x = 53,217.44
  5. Step 5: Solve for x
    x = 53,217.44/255.69
  6. Step 6: Final answer
    x = 208.13

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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.