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Finding the Fourth Proportional to 506.78, 759.93 and 214.21

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Solution

The fourth proportional to 506.78, 759.93 and 214.21 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 759.93 = 214.21 : x
  2. Step 2: Convert to fraction form
    506.78/759.93 = 214.21/x
  3. Step 3: Cross multiply
    506.78x = 759.93 × 214.21
  4. Step 4: Simplify right side
    506.78x = 162,784.61
  5. Step 5: Solve for x
    x = 162,784.61/506.78
  6. Step 6: Final answer
    x = 321.21

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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.