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Finding the Fourth Proportional to 506.69, 760.27 and 214.25

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Solution

The fourth proportional to 506.69, 760.27 and 214.25 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.69 : 760.27 = 214.25 : x
  2. Step 2: Convert to fraction form
    506.69/760.27 = 214.25/x
  3. Step 3: Cross multiply
    506.69x = 760.27 × 214.25
  4. Step 4: Simplify right side
    506.69x = 162,889.21
  5. Step 5: Solve for x
    x = 162,889.21/506.69
  6. Step 6: Final answer
    x = 321.48

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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.