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Finding the Fourth Proportional to 266.67, 401.67 and 212.94

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Solution

The fourth proportional to 266.67, 401.67 and 212.94 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 401.67 = 212.94 : x
  2. Step 2: Convert to fraction form
    266.67/401.67 = 212.94/x
  3. Step 3: Cross multiply
    266.67x = 401.67 × 212.94
  4. Step 4: Simplify right side
    266.67x = 85,531.61
  5. Step 5: Solve for x
    x = 85,531.61/266.67
  6. Step 6: Final answer
    x = 320.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.