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Finding the Fourth Proportional to 255.53, 352.97 and 189.28

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Solution

The fourth proportional to 255.53, 352.97 and 189.28 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.53 : 352.97 = 189.28 : x
  2. Step 2: Convert to fraction form
    255.53/352.97 = 189.28/x
  3. Step 3: Cross multiply
    255.53x = 352.97 × 189.28
  4. Step 4: Simplify right side
    255.53x = 66,809.75
  5. Step 5: Solve for x
    x = 66,809.75/255.53
  6. Step 6: Final answer
    x = 261.45

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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.