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Finding the Fourth Proportional to 266.14, 366.97 and 218.08

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Solution

The fourth proportional to 266.14, 366.97 and 218.08 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.14 : 366.97 = 218.08 : x
  2. Step 2: Convert to fraction form
    266.14/366.97 = 218.08/x
  3. Step 3: Cross multiply
    266.14x = 366.97 × 218.08
  4. Step 4: Simplify right side
    266.14x = 80,025.89
  5. Step 5: Solve for x
    x = 80,025.89/266.14
  6. Step 6: Final answer
    x = 300.70

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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.