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Finding the Fourth Proportional to 457.78, 686.43 and 214.36

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Solution

The fourth proportional to 457.78, 686.43 and 214.36 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 686.43 = 214.36 : x
  2. Step 2: Convert to fraction form
    457.78/686.43 = 214.36/x
  3. Step 3: Cross multiply
    457.78x = 686.43 × 214.36
  4. Step 4: Simplify right side
    457.78x = 147,143.13
  5. Step 5: Solve for x
    x = 147,143.13/457.78
  6. Step 6: Final answer
    x = 321.43

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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.