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Finding the Fourth Proportional to 192.64, 265.12 and 185.28

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Solution

The fourth proportional to 192.64, 265.12 and 185.28 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 265.12 = 185.28 : x
  2. Step 2: Convert to fraction form
    192.64/265.12 = 185.28/x
  3. Step 3: Cross multiply
    192.64x = 265.12 × 185.28
  4. Step 4: Simplify right side
    192.64x = 49,121.43
  5. Step 5: Solve for x
    x = 49,121.43/192.64
  6. Step 6: Final answer
    x = 254.99

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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.