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Finding the Fourth Proportional to 195.55, 293.42 and 192.31

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Solution

The fourth proportional to 195.55, 293.42 and 192.31 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.55 : 293.42 = 192.31 : x
  2. Step 2: Convert to fraction form
    195.55/293.42 = 192.31/x
  3. Step 3: Cross multiply
    195.55x = 293.42 × 192.31
  4. Step 4: Simplify right side
    195.55x = 56,427.60
  5. Step 5: Solve for x
    x = 56,427.60/195.55
  6. Step 6: Final answer
    x = 288.56

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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.