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Finding the Fourth Proportional to 165.60, 251.28 and 165.60

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Solution

The fourth proportional to 165.60, 251.28 and 165.60 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 251.28 = 165.60 : x
  2. Step 2: Convert to fraction form
    165.60/251.28 = 165.60/x
  3. Step 3: Cross multiply
    165.60x = 251.28 × 165.60
  4. Step 4: Simplify right side
    165.60x = 41,611.97
  5. Step 5: Solve for x
    x = 41,611.97/165.60
  6. Step 6: Final answer
    x = 251.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.