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Finding the Fourth Proportional to 193.64, 288.79 and 190.40

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Solution

The fourth proportional to 193.64, 288.79 and 190.40 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 288.79 = 190.40 : x
  2. Step 2: Convert to fraction form
    193.64/288.79 = 190.40/x
  3. Step 3: Cross multiply
    193.64x = 288.79 × 190.40
  4. Step 4: Simplify right side
    193.64x = 54,985.62
  5. Step 5: Solve for x
    x = 54,985.62/193.64
  6. Step 6: Final answer
    x = 283.96

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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.