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Finding the Fourth Proportional to 260.44, 359.71 and 172.96

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Solution

The fourth proportional to 260.44, 359.71 and 172.96 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 359.71 = 172.96 : x
  2. Step 2: Convert to fraction form
    260.44/359.71 = 172.96/x
  3. Step 3: Cross multiply
    260.44x = 359.71 × 172.96
  4. Step 4: Simplify right side
    260.44x = 62,214.11
  5. Step 5: Solve for x
    x = 62,214.11/260.44
  6. Step 6: Final answer
    x = 238.88

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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.