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Finding the Fourth Proportional to 506.65, 760.31 and 198.46

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Solution

The fourth proportional to 506.65, 760.31 and 198.46 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 760.31 = 198.46 : x
  2. Step 2: Convert to fraction form
    506.65/760.31 = 198.46/x
  3. Step 3: Cross multiply
    506.65x = 760.31 × 198.46
  4. Step 4: Simplify right side
    506.65x = 150,893.29
  5. Step 5: Solve for x
    x = 150,893.29/506.65
  6. Step 6: Final answer
    x = 297.83

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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.