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Finding the Fourth Proportional to 131.37, 195.73 and 130.83

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Solution

The fourth proportional to 131.37, 195.73 and 130.83 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.37 : 195.73 = 130.83 : x
  2. Step 2: Convert to fraction form
    131.37/195.73 = 130.83/x
  3. Step 3: Cross multiply
    131.37x = 195.73 × 130.83
  4. Step 4: Simplify right side
    131.37x = 25,607.36
  5. Step 5: Solve for x
    x = 25,607.36/131.37
  6. Step 6: Final answer
    x = 194.93

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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.