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Finding the Fourth Proportional to 180.36, 271.50 and 163.60

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Solution

The fourth proportional to 180.36, 271.50 and 163.60 is: 246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 271.50 = 163.60 : x
  2. Step 2: Convert to fraction form
    180.36/271.50 = 163.60/x
  3. Step 3: Cross multiply
    180.36x = 271.50 × 163.60
  4. Step 4: Simplify right side
    180.36x = 44,417.40
  5. Step 5: Solve for x
    x = 44,417.40/180.36
  6. Step 6: Final answer
    x = 246.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.