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Finding the Fourth Proportional to 193.25, 266.91 and 190.82

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Solution

The fourth proportional to 193.25, 266.91 and 190.82 is: 263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.25 : 266.91 = 190.82 : x
  2. Step 2: Convert to fraction form
    193.25/266.91 = 190.82/x
  3. Step 3: Cross multiply
    193.25x = 266.91 × 190.82
  4. Step 4: Simplify right side
    193.25x = 50,931.77
  5. Step 5: Solve for x
    x = 50,931.77/193.25
  6. Step 6: Final answer
    x = 263.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.