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Finding the Fourth Proportional to 266.79, 367.93 and 168.38

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Solution

The fourth proportional to 266.79, 367.93 and 168.38 is: 232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 367.93 = 168.38 : x
  2. Step 2: Convert to fraction form
    266.79/367.93 = 168.38/x
  3. Step 3: Cross multiply
    266.79x = 367.93 × 168.38
  4. Step 4: Simplify right side
    266.79x = 61,949.37
  5. Step 5: Solve for x
    x = 61,949.37/266.79
  6. Step 6: Final answer
    x = 232.20

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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.