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Finding the Fourth Proportional to 266.98, 368.04 and 193.18

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Solution

The fourth proportional to 266.98, 368.04 and 193.18 is: 266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.98 : 368.04 = 193.18 : x
  2. Step 2: Convert to fraction form
    266.98/368.04 = 193.18/x
  3. Step 3: Cross multiply
    266.98x = 368.04 × 193.18
  4. Step 4: Simplify right side
    266.98x = 71,097.97
  5. Step 5: Solve for x
    x = 71,097.97/266.98
  6. Step 6: Final answer
    x = 266.30

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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.