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Finding the Fourth Proportional to 259.25, 357.77 and 142.81

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Solution

The fourth proportional to 259.25, 357.77 and 142.81 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 357.77 = 142.81 : x
  2. Step 2: Convert to fraction form
    259.25/357.77 = 142.81/x
  3. Step 3: Cross multiply
    259.25x = 357.77 × 142.81
  4. Step 4: Simplify right side
    259.25x = 51,093.13
  5. Step 5: Solve for x
    x = 51,093.13/259.25
  6. Step 6: Final answer
    x = 197.08

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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.