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Finding the Fourth Proportional to 197.91, 295.32 and 177.41

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Solution

The fourth proportional to 197.91, 295.32 and 177.41 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 295.32 = 177.41 : x
  2. Step 2: Convert to fraction form
    197.91/295.32 = 177.41/x
  3. Step 3: Cross multiply
    197.91x = 295.32 × 177.41
  4. Step 4: Simplify right side
    197.91x = 52,391.24
  5. Step 5: Solve for x
    x = 52,391.24/197.91
  6. Step 6: Final answer
    x = 264.72

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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.