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Finding the Fourth Proportional to 506.81, 760.23 and 218.25

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Solution

The fourth proportional to 506.81, 760.23 and 218.25 is: 327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 760.23 = 218.25 : x
  2. Step 2: Convert to fraction form
    506.81/760.23 = 218.25/x
  3. Step 3: Cross multiply
    506.81x = 760.23 × 218.25
  4. Step 4: Simplify right side
    506.81x = 165,920.20
  5. Step 5: Solve for x
    x = 165,920.20/506.81
  6. Step 6: Final answer
    x = 327.38

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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.