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Finding the Fourth Proportional to 507.81, 762.06 and 199.66

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Solution

The fourth proportional to 507.81, 762.06 and 199.66 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 762.06 = 199.66 : x
  2. Step 2: Convert to fraction form
    507.81/762.06 = 199.66/x
  3. Step 3: Cross multiply
    507.81x = 762.06 × 199.66
  4. Step 4: Simplify right side
    507.81x = 152,152.90
  5. Step 5: Solve for x
    x = 152,152.90/507.81
  6. Step 6: Final answer
    x = 299.63

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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.