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Finding the Fourth Proportional to 193.51, 289.64 and 183.49

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Solution

The fourth proportional to 193.51, 289.64 and 183.49 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 289.64 = 183.49 : x
  2. Step 2: Convert to fraction form
    193.51/289.64 = 183.49/x
  3. Step 3: Cross multiply
    193.51x = 289.64 × 183.49
  4. Step 4: Simplify right side
    193.51x = 53,145.78
  5. Step 5: Solve for x
    x = 53,145.78/193.51
  6. Step 6: Final answer
    x = 274.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.