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Finding the Fourth Proportional to 506.72, 760.24 and 218.08

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Solution

The fourth proportional to 506.72, 760.24 and 218.08 is: 327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.72 : 760.24 = 218.08 : x
  2. Step 2: Convert to fraction form
    506.72/760.24 = 218.08/x
  3. Step 3: Cross multiply
    506.72x = 760.24 × 218.08
  4. Step 4: Simplify right side
    506.72x = 165,793.14
  5. Step 5: Solve for x
    x = 165,793.14/506.72
  6. Step 6: Final answer
    x = 327.19

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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.