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Finding the Fourth Proportional to 266.52, 397.91 and 214.96

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Solution

The fourth proportional to 266.52, 397.91 and 214.96 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 397.91 = 214.96 : x
  2. Step 2: Convert to fraction form
    266.52/397.91 = 214.96/x
  3. Step 3: Cross multiply
    266.52x = 397.91 × 214.96
  4. Step 4: Simplify right side
    266.52x = 85,534.73
  5. Step 5: Solve for x
    x = 85,534.73/266.52
  6. Step 6: Final answer
    x = 320.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.