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Finding the Fourth Proportional to 177.82, 245.24 and 122.54

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Solution

The fourth proportional to 177.82, 245.24 and 122.54 is: 169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.82 : 245.24 = 122.54 : x
  2. Step 2: Convert to fraction form
    177.82/245.24 = 122.54/x
  3. Step 3: Cross multiply
    177.82x = 245.24 × 122.54
  4. Step 4: Simplify right side
    177.82x = 30,052.02
  5. Step 5: Solve for x
    x = 30,052.02/177.82
  6. Step 6: Final answer
    x = 169.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.