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Finding the Fourth Proportional to 505.57, 757.95 and 217.21

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Solution

The fourth proportional to 505.57, 757.95 and 217.21 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.57 : 757.95 = 217.21 : x
  2. Step 2: Convert to fraction form
    505.57/757.95 = 217.21/x
  3. Step 3: Cross multiply
    505.57x = 757.95 × 217.21
  4. Step 4: Simplify right side
    505.57x = 164,634.32
  5. Step 5: Solve for x
    x = 164,634.32/505.57
  6. Step 6: Final answer
    x = 325.64

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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.