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Finding the Fourth Proportional to 197.80, 295.01 and 176.20

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Solution

The fourth proportional to 197.80, 295.01 and 176.20 is: 262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 295.01 = 176.20 : x
  2. Step 2: Convert to fraction form
    197.80/295.01 = 176.20/x
  3. Step 3: Cross multiply
    197.80x = 295.01 × 176.20
  4. Step 4: Simplify right side
    197.80x = 51,980.76
  5. Step 5: Solve for x
    x = 51,980.76/197.80
  6. Step 6: Final answer
    x = 262.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.