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Finding the Fourth Proportional to 257.90, 385.99 and 214.66

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Solution

The fourth proportional to 257.90, 385.99 and 214.66 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 385.99 = 214.66 : x
  2. Step 2: Convert to fraction form
    257.90/385.99 = 214.66/x
  3. Step 3: Cross multiply
    257.90x = 385.99 × 214.66
  4. Step 4: Simplify right side
    257.90x = 82,855.26
  5. Step 5: Solve for x
    x = 82,855.26/257.90
  6. Step 6: Final answer
    x = 321.27

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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.