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Finding the Fourth Proportional to 197.76, 295.29 and 177.06

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Solution

The fourth proportional to 197.76, 295.29 and 177.06 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 295.29 = 177.06 : x
  2. Step 2: Convert to fraction form
    197.76/295.29 = 177.06/x
  3. Step 3: Cross multiply
    197.76x = 295.29 × 177.06
  4. Step 4: Simplify right side
    197.76x = 52,284.05
  5. Step 5: Solve for x
    x = 52,284.05/197.76
  6. Step 6: Final answer
    x = 264.38

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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.