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Finding the Fourth Proportional to 146.90, 201.82 and 131.57

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Solution

The fourth proportional to 146.90, 201.82 and 131.57 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 201.82 = 131.57 : x
  2. Step 2: Convert to fraction form
    146.90/201.82 = 131.57/x
  3. Step 3: Cross multiply
    146.90x = 201.82 × 131.57
  4. Step 4: Simplify right side
    146.90x = 26,551.79
  5. Step 5: Solve for x
    x = 26,551.79/146.90
  6. Step 6: Final answer
    x = 180.75

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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.