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Finding the Fourth Proportional to 146.68, 201.93 and 128.20

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Solution

The fourth proportional to 146.68, 201.93 and 128.20 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 201.93 = 128.20 : x
  2. Step 2: Convert to fraction form
    146.68/201.93 = 128.20/x
  3. Step 3: Cross multiply
    146.68x = 201.93 × 128.20
  4. Step 4: Simplify right side
    146.68x = 25,887.43
  5. Step 5: Solve for x
    x = 25,887.43/146.68
  6. Step 6: Final answer
    x = 176.49

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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.