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Finding the Fourth Proportional to 192.57, 265.74 and 105.24

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Solution

The fourth proportional to 192.57, 265.74 and 105.24 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.57 : 265.74 = 105.24 : x
  2. Step 2: Convert to fraction form
    192.57/265.74 = 105.24/x
  3. Step 3: Cross multiply
    192.57x = 265.74 × 105.24
  4. Step 4: Simplify right side
    192.57x = 27,966.48
  5. Step 5: Solve for x
    x = 27,966.48/192.57
  6. Step 6: Final answer
    x = 145.23

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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.