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Finding the Fourth Proportional to 193.40, 287.96 and 192.49

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Solution

The fourth proportional to 193.40, 287.96 and 192.49 is: 286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 287.96 = 192.49 : x
  2. Step 2: Convert to fraction form
    193.40/287.96 = 192.49/x
  3. Step 3: Cross multiply
    193.40x = 287.96 × 192.49
  4. Step 4: Simplify right side
    193.40x = 55,427.74
  5. Step 5: Solve for x
    x = 55,427.74/193.40
  6. Step 6: Final answer
    x = 286.60

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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.