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Finding the Fourth Proportional to 130.37, 195.98 and 120.78

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Solution

The fourth proportional to 130.37, 195.98 and 120.78 is: 181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.37 : 195.98 = 120.78 : x
  2. Step 2: Convert to fraction form
    130.37/195.98 = 120.78/x
  3. Step 3: Cross multiply
    130.37x = 195.98 × 120.78
  4. Step 4: Simplify right side
    130.37x = 23,669.86
  5. Step 5: Solve for x
    x = 23,669.86/130.37
  6. Step 6: Final answer
    x = 181.57

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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.