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Finding the Fourth Proportional to 180.12, 248.27 and 130.26

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Solution

The fourth proportional to 180.12, 248.27 and 130.26 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 248.27 = 130.26 : x
  2. Step 2: Convert to fraction form
    180.12/248.27 = 130.26/x
  3. Step 3: Cross multiply
    180.12x = 248.27 × 130.26
  4. Step 4: Simplify right side
    180.12x = 32,339.00
  5. Step 5: Solve for x
    x = 32,339.00/180.12
  6. Step 6: Final answer
    x = 179.54

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Why These Related Problems?

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