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Finding the Fourth Proportional to 197.00, 271.74 and 127.03

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Solution

The fourth proportional to 197.00, 271.74 and 127.03 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.00 : 271.74 = 127.03 : x
  2. Step 2: Convert to fraction form
    197.00/271.74 = 127.03/x
  3. Step 3: Cross multiply
    197.00x = 271.74 × 127.03
  4. Step 4: Simplify right side
    197.00x = 34,518.50
  5. Step 5: Solve for x
    x = 34,518.50/197.00
  6. Step 6: Final answer
    x = 175.23

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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.