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Finding the Fourth Proportional to 508.25, 762.43 and 200.06

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Solution

The fourth proportional to 508.25, 762.43 and 200.06 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 762.43 = 200.06 : x
  2. Step 2: Convert to fraction form
    508.25/762.43 = 200.06/x
  3. Step 3: Cross multiply
    508.25x = 762.43 × 200.06
  4. Step 4: Simplify right side
    508.25x = 152,528.84
  5. Step 5: Solve for x
    x = 152,528.84/508.25
  6. Step 6: Final answer
    x = 300.11

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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.