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Finding the Fourth Proportional to 146.58, 200.96 and 143.97

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Solution

The fourth proportional to 146.58, 200.96 and 143.97 is: 197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 200.96 = 143.97 : x
  2. Step 2: Convert to fraction form
    146.58/200.96 = 143.97/x
  3. Step 3: Cross multiply
    146.58x = 200.96 × 143.97
  4. Step 4: Simplify right side
    146.58x = 28,931.49
  5. Step 5: Solve for x
    x = 28,931.49/146.58
  6. Step 6: Final answer
    x = 197.38

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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.