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Finding the Fourth Proportional to 309.31, 462.89 and 217.57

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Solution

The fourth proportional to 309.31, 462.89 and 217.57 is: 325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 462.89 = 217.57 : x
  2. Step 2: Convert to fraction form
    309.31/462.89 = 217.57/x
  3. Step 3: Cross multiply
    309.31x = 462.89 × 217.57
  4. Step 4: Simplify right side
    309.31x = 100,710.98
  5. Step 5: Solve for x
    x = 100,710.98/309.31
  6. Step 6: Final answer
    x = 325.60

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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.