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Finding the Fourth Proportional to 192.09, 287.51 and 137.12

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Solution

The fourth proportional to 192.09, 287.51 and 137.12 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 287.51 = 137.12 : x
  2. Step 2: Convert to fraction form
    192.09/287.51 = 137.12/x
  3. Step 3: Cross multiply
    192.09x = 287.51 × 137.12
  4. Step 4: Simplify right side
    192.09x = 39,421.25
  5. Step 5: Solve for x
    x = 39,421.25/192.09
  6. Step 6: Final answer
    x = 205.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.