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Finding the Fourth Proportional to 193.38, 264.72 and 192.96

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Solution

The fourth proportional to 193.38, 264.72 and 192.96 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 264.72 = 192.96 : x
  2. Step 2: Convert to fraction form
    193.38/264.72 = 192.96/x
  3. Step 3: Cross multiply
    193.38x = 264.72 × 192.96
  4. Step 4: Simplify right side
    193.38x = 51,080.37
  5. Step 5: Solve for x
    x = 51,080.37/193.38
  6. Step 6: Final answer
    x = 264.15

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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.