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Finding the Fourth Proportional to 508.47, 762.75 and 200.28

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Solution

The fourth proportional to 508.47, 762.75 and 200.28 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 762.75 = 200.28 : x
  2. Step 2: Convert to fraction form
    508.47/762.75 = 200.28/x
  3. Step 3: Cross multiply
    508.47x = 762.75 × 200.28
  4. Step 4: Simplify right side
    508.47x = 152,761.46
  5. Step 5: Solve for x
    x = 152,761.46/508.47
  6. Step 6: Final answer
    x = 300.44

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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.