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Finding the Fourth Proportional to 192.59, 265.76 and 105.26

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Solution

The fourth proportional to 192.59, 265.76 and 105.26 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.59 : 265.76 = 105.26 : x
  2. Step 2: Convert to fraction form
    192.59/265.76 = 105.26/x
  3. Step 3: Cross multiply
    192.59x = 265.76 × 105.26
  4. Step 4: Simplify right side
    192.59x = 27,972.57
  5. Step 5: Solve for x
    x = 27,972.57/192.59
  6. Step 6: Final answer
    x = 145.25

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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.