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Finding the Fourth Proportional to 508.07, 762.41 and 199.96

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Solution

The fourth proportional to 508.07, 762.41 and 199.96 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.07 : 762.41 = 199.96 : x
  2. Step 2: Convert to fraction form
    508.07/762.41 = 199.96/x
  3. Step 3: Cross multiply
    508.07x = 762.41 × 199.96
  4. Step 4: Simplify right side
    508.07x = 152,450.10
  5. Step 5: Solve for x
    x = 152,450.10/508.07
  6. Step 6: Final answer
    x = 300.06

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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.