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Finding the Fourth Proportional to 255.63, 352.81 and 145.09

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Solution

The fourth proportional to 255.63, 352.81 and 145.09 is: 200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.63 : 352.81 = 145.09 : x
  2. Step 2: Convert to fraction form
    255.63/352.81 = 145.09/x
  3. Step 3: Cross multiply
    255.63x = 352.81 × 145.09
  4. Step 4: Simplify right side
    255.63x = 51,187.84
  5. Step 5: Solve for x
    x = 51,187.84/255.63
  6. Step 6: Final answer
    x = 200.24

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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.