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Finding the Fourth Proportional to 195.30, 291.78 and 172.44

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Solution

The fourth proportional to 195.30, 291.78 and 172.44 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 291.78 = 172.44 : x
  2. Step 2: Convert to fraction form
    195.30/291.78 = 172.44/x
  3. Step 3: Cross multiply
    195.30x = 291.78 × 172.44
  4. Step 4: Simplify right side
    195.30x = 50,314.54
  5. Step 5: Solve for x
    x = 50,314.54/195.30
  6. Step 6: Final answer
    x = 257.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.