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Finding the Fourth Proportional to 197.02, 271.62 and 160.12

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Solution

The fourth proportional to 197.02, 271.62 and 160.12 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 271.62 = 160.12 : x
  2. Step 2: Convert to fraction form
    197.02/271.62 = 160.12/x
  3. Step 3: Cross multiply
    197.02x = 271.62 × 160.12
  4. Step 4: Simplify right side
    197.02x = 43,491.79
  5. Step 5: Solve for x
    x = 43,491.79/197.02
  6. Step 6: Final answer
    x = 220.75

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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.