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Finding the Fourth Proportional to 146.02, 201.48 and 93.54

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Solution

The fourth proportional to 146.02, 201.48 and 93.54 is: 129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.02 : 201.48 = 93.54 : x
  2. Step 2: Convert to fraction form
    146.02/201.48 = 93.54/x
  3. Step 3: Cross multiply
    146.02x = 201.48 × 93.54
  4. Step 4: Simplify right side
    146.02x = 18,846.44
  5. Step 5: Solve for x
    x = 18,846.44/146.02
  6. Step 6: Final answer
    x = 129.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.