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Finding the Fourth Proportional to 266.85, 368.14 and 197.08

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Solution

The fourth proportional to 266.85, 368.14 and 197.08 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.85 : 368.14 = 197.08 : x
  2. Step 2: Convert to fraction form
    266.85/368.14 = 197.08/x
  3. Step 3: Cross multiply
    266.85x = 368.14 × 197.08
  4. Step 4: Simplify right side
    266.85x = 72,551.19
  5. Step 5: Solve for x
    x = 72,551.19/266.85
  6. Step 6: Final answer
    x = 271.88

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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.