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Finding the Fourth Proportional to 508.27, 762.19 and 215.90

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Solution

The fourth proportional to 508.27, 762.19 and 215.90 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.27 : 762.19 = 215.90 : x
  2. Step 2: Convert to fraction form
    508.27/762.19 = 215.90/x
  3. Step 3: Cross multiply
    508.27x = 762.19 × 215.90
  4. Step 4: Simplify right side
    508.27x = 164,556.82
  5. Step 5: Solve for x
    x = 164,556.82/508.27
  6. Step 6: Final answer
    x = 323.76

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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.