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Finding the Fourth Proportional to 142.97, 197.98 and 133.25

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Solution

The fourth proportional to 142.97, 197.98 and 133.25 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.97 : 197.98 = 133.25 : x
  2. Step 2: Convert to fraction form
    142.97/197.98 = 133.25/x
  3. Step 3: Cross multiply
    142.97x = 197.98 × 133.25
  4. Step 4: Simplify right side
    142.97x = 26,379.51
  5. Step 5: Solve for x
    x = 26,379.51/142.97
  6. Step 6: Final answer
    x = 184.52

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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.