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Finding the Fourth Proportional to 255.35, 352.40 and 144.81

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Solution

The fourth proportional to 255.35, 352.40 and 144.81 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 352.40 = 144.81 : x
  2. Step 2: Convert to fraction form
    255.35/352.40 = 144.81/x
  3. Step 3: Cross multiply
    255.35x = 352.40 × 144.81
  4. Step 4: Simplify right side
    255.35x = 51,031.04
  5. Step 5: Solve for x
    x = 51,031.04/255.35
  6. Step 6: Final answer
    x = 199.85

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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.