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Finding the Fourth Proportional to 180.24, 246.72 and 179.52

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Solution

The fourth proportional to 180.24, 246.72 and 179.52 is: 245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 246.72 = 179.52 : x
  2. Step 2: Convert to fraction form
    180.24/246.72 = 179.52/x
  3. Step 3: Cross multiply
    180.24x = 246.72 × 179.52
  4. Step 4: Simplify right side
    180.24x = 44,291.17
  5. Step 5: Solve for x
    x = 44,291.17/180.24
  6. Step 6: Final answer
    x = 245.73

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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.