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Finding the Fourth Proportional to 192.78, 264.60 and 186.84

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Solution

The fourth proportional to 192.78, 264.60 and 186.84 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 264.60 = 186.84 : x
  2. Step 2: Convert to fraction form
    192.78/264.60 = 186.84/x
  3. Step 3: Cross multiply
    192.78x = 264.60 × 186.84
  4. Step 4: Simplify right side
    192.78x = 49,437.86
  5. Step 5: Solve for x
    x = 49,437.86/192.78
  6. Step 6: Final answer
    x = 256.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.