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Finding the Fourth Proportional to 505.10, 757.94 and 212.57

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Solution

The fourth proportional to 505.10, 757.94 and 212.57 is: 318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.10 : 757.94 = 212.57 : x
  2. Step 2: Convert to fraction form
    505.10/757.94 = 212.57/x
  3. Step 3: Cross multiply
    505.10x = 757.94 × 212.57
  4. Step 4: Simplify right side
    505.10x = 161,114.24
  5. Step 5: Solve for x
    x = 161,114.24/505.10
  6. Step 6: Final answer
    x = 318.98

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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.