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Finding the Fourth Proportional to 508.27, 762.63 and 276.81

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Solution

The fourth proportional to 508.27, 762.63 and 276.81 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.27 : 762.63 = 276.81 : x
  2. Step 2: Convert to fraction form
    508.27/762.63 = 276.81/x
  3. Step 3: Cross multiply
    508.27x = 762.63 × 276.81
  4. Step 4: Simplify right side
    508.27x = 211,103.41
  5. Step 5: Solve for x
    x = 211,103.41/508.27
  6. Step 6: Final answer
    x = 415.34

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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.