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Finding the Fourth Proportional to 130.90, 195.14 and 120.38

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Solution

The fourth proportional to 130.90, 195.14 and 120.38 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 195.14 = 120.38 : x
  2. Step 2: Convert to fraction form
    130.90/195.14 = 120.38/x
  3. Step 3: Cross multiply
    130.90x = 195.14 × 120.38
  4. Step 4: Simplify right side
    130.90x = 23,490.95
  5. Step 5: Solve for x
    x = 23,490.95/130.90
  6. Step 6: Final answer
    x = 179.46

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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.