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Finding the Fourth Proportional to 192.16, 264.96 and 142.88

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Solution

The fourth proportional to 192.16, 264.96 and 142.88 is: 197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 264.96 = 142.88 : x
  2. Step 2: Convert to fraction form
    192.16/264.96 = 142.88/x
  3. Step 3: Cross multiply
    192.16x = 264.96 × 142.88
  4. Step 4: Simplify right side
    192.16x = 37,857.48
  5. Step 5: Solve for x
    x = 37,857.48/192.16
  6. Step 6: Final answer
    x = 197.01

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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.