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Finding the Fourth Proportional to 266.20, 398.94 and 184.03

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Solution

The fourth proportional to 266.20, 398.94 and 184.03 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 398.94 = 184.03 : x
  2. Step 2: Convert to fraction form
    266.20/398.94 = 184.03/x
  3. Step 3: Cross multiply
    266.20x = 398.94 × 184.03
  4. Step 4: Simplify right side
    266.20x = 73,416.93
  5. Step 5: Solve for x
    x = 73,416.93/266.20
  6. Step 6: Final answer
    x = 275.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.