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Finding the Fourth Proportional to 147.49, 201.93 and 146.97

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Solution

The fourth proportional to 147.49, 201.93 and 146.97 is: 201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.49 : 201.93 = 146.97 : x
  2. Step 2: Convert to fraction form
    147.49/201.93 = 146.97/x
  3. Step 3: Cross multiply
    147.49x = 201.93 × 146.97
  4. Step 4: Simplify right side
    147.49x = 29,676.78
  5. Step 5: Solve for x
    x = 29,676.78/147.49
  6. Step 6: Final answer
    x = 201.22

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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.