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Finding the Fourth Proportional to 146.73, 202.64 and 128.51

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Solution

The fourth proportional to 146.73, 202.64 and 128.51 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.73 : 202.64 = 128.51 : x
  2. Step 2: Convert to fraction form
    146.73/202.64 = 128.51/x
  3. Step 3: Cross multiply
    146.73x = 202.64 × 128.51
  4. Step 4: Simplify right side
    146.73x = 26,041.27
  5. Step 5: Solve for x
    x = 26,041.27/146.73
  6. Step 6: Final answer
    x = 177.48

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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.