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Finding the Fourth Proportional to 193.83, 288.66 and 190.42

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Solution

The fourth proportional to 193.83, 288.66 and 190.42 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.83 : 288.66 = 190.42 : x
  2. Step 2: Convert to fraction form
    193.83/288.66 = 190.42/x
  3. Step 3: Cross multiply
    193.83x = 288.66 × 190.42
  4. Step 4: Simplify right side
    193.83x = 54,966.63
  5. Step 5: Solve for x
    x = 54,966.63/193.83
  6. Step 6: Final answer
    x = 283.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.