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Finding the Fourth Proportional to 146.93, 203.63 and 145.26

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Solution

The fourth proportional to 146.93, 203.63 and 145.26 is: 201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 203.63 = 145.26 : x
  2. Step 2: Convert to fraction form
    146.93/203.63 = 145.26/x
  3. Step 3: Cross multiply
    146.93x = 203.63 × 145.26
  4. Step 4: Simplify right side
    146.93x = 29,578.57
  5. Step 5: Solve for x
    x = 29,578.57/146.93
  6. Step 6: Final answer
    x = 201.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.