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Finding the Fourth Proportional to 507.99, 762.27 and 200.07

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Solution

The fourth proportional to 507.99, 762.27 and 200.07 is: 300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.99 : 762.27 = 200.07 : x
  2. Step 2: Convert to fraction form
    507.99/762.27 = 200.07/x
  3. Step 3: Cross multiply
    507.99x = 762.27 × 200.07
  4. Step 4: Simplify right side
    507.99x = 152,507.36
  5. Step 5: Solve for x
    x = 152,507.36/507.99
  6. Step 6: Final answer
    x = 300.22

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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.