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Finding the Fourth Proportional to 505.91, 757.81 and 232.23

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Solution

The fourth proportional to 505.91, 757.81 and 232.23 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.91 : 757.81 = 232.23 : x
  2. Step 2: Convert to fraction form
    505.91/757.81 = 232.23/x
  3. Step 3: Cross multiply
    505.91x = 757.81 × 232.23
  4. Step 4: Simplify right side
    505.91x = 175,988.04
  5. Step 5: Solve for x
    x = 175,988.04/505.91
  6. Step 6: Final answer
    x = 347.86

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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.