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Finding the Fourth Proportional to 266.10, 398.94 and 121.62

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Solution

The fourth proportional to 266.10, 398.94 and 121.62 is: 182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 398.94 = 121.62 : x
  2. Step 2: Convert to fraction form
    266.10/398.94 = 121.62/x
  3. Step 3: Cross multiply
    266.10x = 398.94 × 121.62
  4. Step 4: Simplify right side
    266.10x = 48,519.08
  5. Step 5: Solve for x
    x = 48,519.08/266.10
  6. Step 6: Final answer
    x = 182.33

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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.