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Finding the Fourth Proportional to 505.02, 757.64 and 196.89

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Solution

The fourth proportional to 505.02, 757.64 and 196.89 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 757.64 = 196.89 : x
  2. Step 2: Convert to fraction form
    505.02/757.64 = 196.89/x
  3. Step 3: Cross multiply
    505.02x = 757.64 × 196.89
  4. Step 4: Simplify right side
    505.02x = 149,171.74
  5. Step 5: Solve for x
    x = 149,171.74/505.02
  6. Step 6: Final answer
    x = 295.38

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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.