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Finding the Fourth Proportional to 507.85, 762.12 and 199.67

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Solution

The fourth proportional to 507.85, 762.12 and 199.67 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 762.12 = 199.67 : x
  2. Step 2: Convert to fraction form
    507.85/762.12 = 199.67/x
  3. Step 3: Cross multiply
    507.85x = 762.12 × 199.67
  4. Step 4: Simplify right side
    507.85x = 152,172.50
  5. Step 5: Solve for x
    x = 152,172.50/507.85
  6. Step 6: Final answer
    x = 299.64

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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.