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Finding the Fourth Proportional to 458.25, 686.82 and 211.11

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Solution

The fourth proportional to 458.25, 686.82 and 211.11 is: 316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 686.82 = 211.11 : x
  2. Step 2: Convert to fraction form
    458.25/686.82 = 211.11/x
  3. Step 3: Cross multiply
    458.25x = 686.82 × 211.11
  4. Step 4: Simplify right side
    458.25x = 144,998.40
  5. Step 5: Solve for x
    x = 144,998.40/458.25
  6. Step 6: Final answer
    x = 316.42

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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.