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Finding the Fourth Proportional to 266.08, 366.21 and 213.45

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Solution

The fourth proportional to 266.08, 366.21 and 213.45 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.08 : 366.21 = 213.45 : x
  2. Step 2: Convert to fraction form
    266.08/366.21 = 213.45/x
  3. Step 3: Cross multiply
    266.08x = 366.21 × 213.45
  4. Step 4: Simplify right side
    266.08x = 78,167.52
  5. Step 5: Solve for x
    x = 78,167.52/266.08
  6. Step 6: Final answer
    x = 293.77

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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.