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Finding the Fourth Proportional to 505.14, 757.71 and 216.39

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Solution

The fourth proportional to 505.14, 757.71 and 216.39 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 757.71 = 216.39 : x
  2. Step 2: Convert to fraction form
    505.14/757.71 = 216.39/x
  3. Step 3: Cross multiply
    505.14x = 757.71 × 216.39
  4. Step 4: Simplify right side
    505.14x = 163,960.87
  5. Step 5: Solve for x
    x = 163,960.87/505.14
  6. Step 6: Final answer
    x = 324.59

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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.