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Finding the Fourth Proportional to 255.29, 352.26 and 144.77

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Solution

The fourth proportional to 255.29, 352.26 and 144.77 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 352.26 = 144.77 : x
  2. Step 2: Convert to fraction form
    255.29/352.26 = 144.77/x
  3. Step 3: Cross multiply
    255.29x = 352.26 × 144.77
  4. Step 4: Simplify right side
    255.29x = 50,994.92
  5. Step 5: Solve for x
    x = 50,994.92/255.29
  6. Step 6: Final answer
    x = 199.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.