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Finding the Fourth Proportional to 143.00, 197.23 and 138.24

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Solution

The fourth proportional to 143.00, 197.23 and 138.24 is: 190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.00 : 197.23 = 138.24 : x
  2. Step 2: Convert to fraction form
    143.00/197.23 = 138.24/x
  3. Step 3: Cross multiply
    143.00x = 197.23 × 138.24
  4. Step 4: Simplify right side
    143.00x = 27,264.09
  5. Step 5: Solve for x
    x = 27,264.09/143.00
  6. Step 6: Final answer
    x = 190.66

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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.