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Finding the Fourth Proportional to 458.09, 686.79 and 214.47

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Solution

The fourth proportional to 458.09, 686.79 and 214.47 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 686.79 = 214.47 : x
  2. Step 2: Convert to fraction form
    458.09/686.79 = 214.47/x
  3. Step 3: Cross multiply
    458.09x = 686.79 × 214.47
  4. Step 4: Simplify right side
    458.09x = 147,295.85
  5. Step 5: Solve for x
    x = 147,295.85/458.09
  6. Step 6: Final answer
    x = 321.55

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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.