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Finding the Fourth Proportional to 266.42, 399.07 and 214.78

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Solution

The fourth proportional to 266.42, 399.07 and 214.78 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.42 : 399.07 = 214.78 : x
  2. Step 2: Convert to fraction form
    266.42/399.07 = 214.78/x
  3. Step 3: Cross multiply
    266.42x = 399.07 × 214.78
  4. Step 4: Simplify right side
    266.42x = 85,712.25
  5. Step 5: Solve for x
    x = 85,712.25/266.42
  6. Step 6: Final answer
    x = 321.72

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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.