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Finding the Fourth Proportional to 506.68, 760.44 and 198.76

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Solution

The fourth proportional to 506.68, 760.44 and 198.76 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 760.44 = 198.76 : x
  2. Step 2: Convert to fraction form
    506.68/760.44 = 198.76/x
  3. Step 3: Cross multiply
    506.68x = 760.44 × 198.76
  4. Step 4: Simplify right side
    506.68x = 151,145.05
  5. Step 5: Solve for x
    x = 151,145.05/506.68
  6. Step 6: Final answer
    x = 298.30

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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.