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Finding the Fourth Proportional to 146.71, 201.04 and 140.33

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Solution

The fourth proportional to 146.71, 201.04 and 140.33 is: 192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 201.04 = 140.33 : x
  2. Step 2: Convert to fraction form
    146.71/201.04 = 140.33/x
  3. Step 3: Cross multiply
    146.71x = 201.04 × 140.33
  4. Step 4: Simplify right side
    146.71x = 28,213.08
  5. Step 5: Solve for x
    x = 28,213.08/146.71
  6. Step 6: Final answer
    x = 192.30

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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.