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Finding the Fourth Proportional to 508.73, 762.94 and 216.23

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Solution

The fourth proportional to 508.73, 762.94 and 216.23 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.73 : 762.94 = 216.23 : x
  2. Step 2: Convert to fraction form
    508.73/762.94 = 216.23/x
  3. Step 3: Cross multiply
    508.73x = 762.94 × 216.23
  4. Step 4: Simplify right side
    508.73x = 164,966.75
  5. Step 5: Solve for x
    x = 164,966.75/508.73
  6. Step 6: Final answer
    x = 324.27

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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.