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Finding the Fourth Proportional to 266.64, 368.01 and 196.80

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Solution

The fourth proportional to 266.64, 368.01 and 196.80 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 368.01 = 196.80 : x
  2. Step 2: Convert to fraction form
    266.64/368.01 = 196.80/x
  3. Step 3: Cross multiply
    266.64x = 368.01 × 196.80
  4. Step 4: Simplify right side
    266.64x = 72,424.37
  5. Step 5: Solve for x
    x = 72,424.37/266.64
  6. Step 6: Final answer
    x = 271.62

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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.