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Finding the Fourth Proportional to 457.73, 686.26 and 214.12

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Solution

The fourth proportional to 457.73, 686.26 and 214.12 is: 321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.73 : 686.26 = 214.12 : x
  2. Step 2: Convert to fraction form
    457.73/686.26 = 214.12/x
  3. Step 3: Cross multiply
    457.73x = 686.26 × 214.12
  4. Step 4: Simplify right side
    457.73x = 146,941.49
  5. Step 5: Solve for x
    x = 146,941.49/457.73
  6. Step 6: Final answer
    x = 321.03

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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.