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Finding the Fourth Proportional to 117.60, 163.80 and 117.60

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Solution

The fourth proportional to 117.60, 163.80 and 117.60 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 163.80 = 117.60 : x
  2. Step 2: Convert to fraction form
    117.60/163.80 = 117.60/x
  3. Step 3: Cross multiply
    117.60x = 163.80 × 117.60
  4. Step 4: Simplify right side
    117.60x = 19,262.88
  5. Step 5: Solve for x
    x = 19,262.88/117.60
  6. Step 6: Final answer
    x = 163.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.