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Finding the Fourth Proportional to 192.40, 286.98 and 178.96

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Solution

The fourth proportional to 192.40, 286.98 and 178.96 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 286.98 = 178.96 : x
  2. Step 2: Convert to fraction form
    192.40/286.98 = 178.96/x
  3. Step 3: Cross multiply
    192.40x = 286.98 × 178.96
  4. Step 4: Simplify right side
    192.40x = 51,357.94
  5. Step 5: Solve for x
    x = 51,357.94/192.40
  6. Step 6: Final answer
    x = 266.93

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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.