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Finding the Fourth Proportional to 506.98, 760.20 and 182.44

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Solution

The fourth proportional to 506.98, 760.20 and 182.44 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 760.20 = 182.44 : x
  2. Step 2: Convert to fraction form
    506.98/760.20 = 182.44/x
  3. Step 3: Cross multiply
    506.98x = 760.20 × 182.44
  4. Step 4: Simplify right side
    506.98x = 138,690.89
  5. Step 5: Solve for x
    x = 138,690.89/506.98
  6. Step 6: Final answer
    x = 273.56

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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.