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Finding the Fourth Proportional to 192.74, 289.12 and 183.02

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Solution

The fourth proportional to 192.74, 289.12 and 183.02 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 289.12 = 183.02 : x
  2. Step 2: Convert to fraction form
    192.74/289.12 = 183.02/x
  3. Step 3: Cross multiply
    192.74x = 289.12 × 183.02
  4. Step 4: Simplify right side
    192.74x = 52,914.74
  5. Step 5: Solve for x
    x = 52,914.74/192.74
  6. Step 6: Final answer
    x = 274.54

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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.