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Finding the Fourth Proportional to 260.22, 359.04 and 171.66

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Solution

The fourth proportional to 260.22, 359.04 and 171.66 is: 236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 359.04 = 171.66 : x
  2. Step 2: Convert to fraction form
    260.22/359.04 = 171.66/x
  3. Step 3: Cross multiply
    260.22x = 359.04 × 171.66
  4. Step 4: Simplify right side
    260.22x = 61,632.81
  5. Step 5: Solve for x
    x = 61,632.81/260.22
  6. Step 6: Final answer
    x = 236.85

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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.