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Finding the Fourth Proportional to 506.19, 757.97 and 300.90

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Solution

The fourth proportional to 506.19, 757.97 and 300.90 is: 450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 757.97 = 300.90 : x
  2. Step 2: Convert to fraction form
    506.19/757.97 = 300.90/x
  3. Step 3: Cross multiply
    506.19x = 757.97 × 300.90
  4. Step 4: Simplify right side
    506.19x = 228,073.17
  5. Step 5: Solve for x
    x = 228,073.17/506.19
  6. Step 6: Final answer
    x = 450.57

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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.