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Finding the Fourth Proportional to 192.12, 286.98 and 137.58

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Solution

The fourth proportional to 192.12, 286.98 and 137.58 is: 205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.12 : 286.98 = 137.58 : x
  2. Step 2: Convert to fraction form
    192.12/286.98 = 137.58/x
  3. Step 3: Cross multiply
    192.12x = 286.98 × 137.58
  4. Step 4: Simplify right side
    192.12x = 39,482.71
  5. Step 5: Solve for x
    x = 39,482.71/192.12
  6. Step 6: Final answer
    x = 205.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.