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Finding the Fourth Proportional to 179.20, 245.63 and 177.94

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Solution

The fourth proportional to 179.20, 245.63 and 177.94 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 245.63 = 177.94 : x
  2. Step 2: Convert to fraction form
    179.20/245.63 = 177.94/x
  3. Step 3: Cross multiply
    179.20x = 245.63 × 177.94
  4. Step 4: Simplify right side
    179.20x = 43,707.40
  5. Step 5: Solve for x
    x = 43,707.40/179.20
  6. Step 6: Final answer
    x = 243.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.