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Finding the Fourth Proportional to 175.15, 241.74 and 105.25

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Solution

The fourth proportional to 175.15, 241.74 and 105.25 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.15 : 241.74 = 105.25 : x
  2. Step 2: Convert to fraction form
    175.15/241.74 = 105.25/x
  3. Step 3: Cross multiply
    175.15x = 241.74 × 105.25
  4. Step 4: Simplify right side
    175.15x = 25,441.93
  5. Step 5: Solve for x
    x = 25,441.93/175.15
  6. Step 6: Final answer
    x = 145.26

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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.