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Finding the Fourth Proportional to 255.22, 352.26 and 150.31

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Solution

The fourth proportional to 255.22, 352.26 and 150.31 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 352.26 = 150.31 : x
  2. Step 2: Convert to fraction form
    255.22/352.26 = 150.31/x
  3. Step 3: Cross multiply
    255.22x = 352.26 × 150.31
  4. Step 4: Simplify right side
    255.22x = 52,948.20
  5. Step 5: Solve for x
    x = 52,948.20/255.22
  6. Step 6: Final answer
    x = 207.46

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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.