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Finding the Fourth Proportional to 146.28, 200.76 and 130.38

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Solution

The fourth proportional to 146.28, 200.76 and 130.38 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 200.76 = 130.38 : x
  2. Step 2: Convert to fraction form
    146.28/200.76 = 130.38/x
  3. Step 3: Cross multiply
    146.28x = 200.76 × 130.38
  4. Step 4: Simplify right side
    146.28x = 26,175.09
  5. Step 5: Solve for x
    x = 26,175.09/146.28
  6. Step 6: Final answer
    x = 178.94

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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.