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Finding the Fourth Proportional to 458.27, 686.43 and 211.67

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Solution

The fourth proportional to 458.27, 686.43 and 211.67 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.27 : 686.43 = 211.67 : x
  2. Step 2: Convert to fraction form
    458.27/686.43 = 211.67/x
  3. Step 3: Cross multiply
    458.27x = 686.43 × 211.67
  4. Step 4: Simplify right side
    458.27x = 145,298.85
  5. Step 5: Solve for x
    x = 145,298.85/458.27
  6. Step 6: Final answer
    x = 317.06

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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.