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Finding the Fourth Proportional to 193.58, 265.34 and 190.88

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Solution

The fourth proportional to 193.58, 265.34 and 190.88 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.58 : 265.34 = 190.88 : x
  2. Step 2: Convert to fraction form
    193.58/265.34 = 190.88/x
  3. Step 3: Cross multiply
    193.58x = 265.34 × 190.88
  4. Step 4: Simplify right side
    193.58x = 50,646.81
  5. Step 5: Solve for x
    x = 50,646.81/193.58
  6. Step 6: Final answer
    x = 261.63

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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.