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Finding the Fourth Proportional to 195.60, 293.80 and 172.10

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Solution

The fourth proportional to 195.60, 293.80 and 172.10 is: 258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.80 = 172.10 : x
  2. Step 2: Convert to fraction form
    195.60/293.80 = 172.10/x
  3. Step 3: Cross multiply
    195.60x = 293.80 × 172.10
  4. Step 4: Simplify right side
    195.60x = 50,562.98
  5. Step 5: Solve for x
    x = 50,562.98/195.60
  6. Step 6: Final answer
    x = 258.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.