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Finding the Fourth Proportional to 171.82, 259.05 and 160.07

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Solution

The fourth proportional to 171.82, 259.05 and 160.07 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 259.05 = 160.07 : x
  2. Step 2: Convert to fraction form
    171.82/259.05 = 160.07/x
  3. Step 3: Cross multiply
    171.82x = 259.05 × 160.07
  4. Step 4: Simplify right side
    171.82x = 41,465.33
  5. Step 5: Solve for x
    x = 41,465.33/171.82
  6. Step 6: Final answer
    x = 241.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.