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Finding the Fourth Proportional to 255.55, 352.67 and 145.03

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Solution

The fourth proportional to 255.55, 352.67 and 145.03 is: 200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.55 : 352.67 = 145.03 : x
  2. Step 2: Convert to fraction form
    255.55/352.67 = 145.03/x
  3. Step 3: Cross multiply
    255.55x = 352.67 × 145.03
  4. Step 4: Simplify right side
    255.55x = 51,147.73
  5. Step 5: Solve for x
    x = 51,147.73/255.55
  6. Step 6: Final answer
    x = 200.15

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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.