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Finding the Fourth Proportional to 192.02, 289.44 and 182.07

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Solution

The fourth proportional to 192.02, 289.44 and 182.07 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 289.44 = 182.07 : x
  2. Step 2: Convert to fraction form
    192.02/289.44 = 182.07/x
  3. Step 3: Cross multiply
    192.02x = 289.44 × 182.07
  4. Step 4: Simplify right side
    192.02x = 52,698.34
  5. Step 5: Solve for x
    x = 52,698.34/192.02
  6. Step 6: Final answer
    x = 274.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.