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Finding the Fourth Proportional to 131.51, 180.52 and 119.78

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Solution

The fourth proportional to 131.51, 180.52 and 119.78 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.51 : 180.52 = 119.78 : x
  2. Step 2: Convert to fraction form
    131.51/180.52 = 119.78/x
  3. Step 3: Cross multiply
    131.51x = 180.52 × 119.78
  4. Step 4: Simplify right side
    131.51x = 21,623.32
  5. Step 5: Solve for x
    x = 21,623.32/131.51
  6. Step 6: Final answer
    x = 164.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.