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Finding the Fourth Proportional to 193.60, 264.80 and 188.80

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Solution

The fourth proportional to 193.60, 264.80 and 188.80 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.60 : 264.80 = 188.80 : x
  2. Step 2: Convert to fraction form
    193.60/264.80 = 188.80/x
  3. Step 3: Cross multiply
    193.60x = 264.80 × 188.80
  4. Step 4: Simplify right side
    193.60x = 49,994.24
  5. Step 5: Solve for x
    x = 49,994.24/193.60
  6. Step 6: Final answer
    x = 258.23

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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.