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Finding the Fourth Proportional to 506.58, 758.44 and 261.96

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Solution

The fourth proportional to 506.58, 758.44 and 261.96 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 758.44 = 261.96 : x
  2. Step 2: Convert to fraction form
    506.58/758.44 = 261.96/x
  3. Step 3: Cross multiply
    506.58x = 758.44 × 261.96
  4. Step 4: Simplify right side
    506.58x = 198,680.94
  5. Step 5: Solve for x
    x = 198,680.94/506.58
  6. Step 6: Final answer
    x = 392.20

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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.