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Finding the Fourth Proportional to 177.20, 245.84 and 162.80

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Solution

The fourth proportional to 177.20, 245.84 and 162.80 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 245.84 = 162.80 : x
  2. Step 2: Convert to fraction form
    177.20/245.84 = 162.80/x
  3. Step 3: Cross multiply
    177.20x = 245.84 × 162.80
  4. Step 4: Simplify right side
    177.20x = 40,022.75
  5. Step 5: Solve for x
    x = 40,022.75/177.20
  6. Step 6: Final answer
    x = 225.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.