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Finding the Fourth Proportional to 179.58, 246.30 and 177.45

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Solution

The fourth proportional to 179.58, 246.30 and 177.45 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.58 : 246.30 = 177.45 : x
  2. Step 2: Convert to fraction form
    179.58/246.30 = 177.45/x
  3. Step 3: Cross multiply
    179.58x = 246.30 × 177.45
  4. Step 4: Simplify right side
    179.58x = 43,705.94
  5. Step 5: Solve for x
    x = 43,705.94/179.58
  6. Step 6: Final answer
    x = 243.38

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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.