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Finding the Fourth Proportional to 192.56, 265.64 and 178.80

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Solution

The fourth proportional to 192.56, 265.64 and 178.80 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 265.64 = 178.80 : x
  2. Step 2: Convert to fraction form
    192.56/265.64 = 178.80/x
  3. Step 3: Cross multiply
    192.56x = 265.64 × 178.80
  4. Step 4: Simplify right side
    192.56x = 47,496.43
  5. Step 5: Solve for x
    x = 47,496.43/192.56
  6. Step 6: Final answer
    x = 246.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.