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Finding the Fourth Proportional to 192.10, 265.02 and 142.87

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Solution

The fourth proportional to 192.10, 265.02 and 142.87 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 265.02 = 142.87 : x
  2. Step 2: Convert to fraction form
    192.10/265.02 = 142.87/x
  3. Step 3: Cross multiply
    192.10x = 265.02 × 142.87
  4. Step 4: Simplify right side
    192.10x = 37,863.41
  5. Step 5: Solve for x
    x = 37,863.41/192.10
  6. Step 6: Final answer
    x = 197.10

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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.