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Finding the Fourth Proportional to 131.14, 180.14 and 106.48

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Solution

The fourth proportional to 131.14, 180.14 and 106.48 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 180.14 = 106.48 : x
  2. Step 2: Convert to fraction form
    131.14/180.14 = 106.48/x
  3. Step 3: Cross multiply
    131.14x = 180.14 × 106.48
  4. Step 4: Simplify right side
    131.14x = 19,181.31
  5. Step 5: Solve for x
    x = 19,181.31/131.14
  6. Step 6: Final answer
    x = 146.27

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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.