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Finding the Fourth Proportional to 192, 264.48 and 164.16

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Solution

The fourth proportional to 192, 264.48 and 164.16 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 264.48 = 164.16 : x
  2. Step 2: Convert to fraction form
    192/264.48 = 164.16/x
  3. Step 3: Cross multiply
    192x = 264.48 × 164.16
  4. Step 4: Simplify right side
    192x = 43,417.04
  5. Step 5: Solve for x
    x = 43,417.04/192
  6. Step 6: Final answer
    x = 226.13

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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.