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Finding the Fourth Proportional to 505.53, 757.53 and 212.76

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Solution

The fourth proportional to 505.53, 757.53 and 212.76 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 757.53 = 212.76 : x
  2. Step 2: Convert to fraction form
    505.53/757.53 = 212.76/x
  3. Step 3: Cross multiply
    505.53x = 757.53 × 212.76
  4. Step 4: Simplify right side
    505.53x = 161,172.08
  5. Step 5: Solve for x
    x = 161,172.08/505.53
  6. Step 6: Final answer
    x = 318.82

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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.