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Finding the Fourth Proportional to 506.48, 758.66 and 262.26

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Solution

The fourth proportional to 506.48, 758.66 and 262.26 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 758.66 = 262.26 : x
  2. Step 2: Convert to fraction form
    506.48/758.66 = 262.26/x
  3. Step 3: Cross multiply
    506.48x = 758.66 × 262.26
  4. Step 4: Simplify right side
    506.48x = 198,964.86
  5. Step 5: Solve for x
    x = 198,964.86/506.48
  6. Step 6: Final answer
    x = 392.84

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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.