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Finding the Fourth Proportional to 197.55, 295.03 and 174.20

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Solution

The fourth proportional to 197.55, 295.03 and 174.20 is: 260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.55 : 295.03 = 174.20 : x
  2. Step 2: Convert to fraction form
    197.55/295.03 = 174.20/x
  3. Step 3: Cross multiply
    197.55x = 295.03 × 174.20
  4. Step 4: Simplify right side
    197.55x = 51,392.97
  5. Step 5: Solve for x
    x = 51,392.97/197.55
  6. Step 6: Final answer
    x = 260.15

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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.