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Finding the Fourth Proportional to 506.50, 758.94 and 262.72

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Solution

The fourth proportional to 506.50, 758.94 and 262.72 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 758.94 = 262.72 : x
  2. Step 2: Convert to fraction form
    506.50/758.94 = 262.72/x
  3. Step 3: Cross multiply
    506.50x = 758.94 × 262.72
  4. Step 4: Simplify right side
    506.50x = 199,388.72
  5. Step 5: Solve for x
    x = 199,388.72/506.50
  6. Step 6: Final answer
    x = 393.66

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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.