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Finding the Fourth Proportional to 508.09, 761.27 and 276.43

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Solution

The fourth proportional to 508.09, 761.27 and 276.43 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 761.27 = 276.43 : x
  2. Step 2: Convert to fraction form
    508.09/761.27 = 276.43/x
  3. Step 3: Cross multiply
    508.09x = 761.27 × 276.43
  4. Step 4: Simplify right side
    508.09x = 210,432.68
  5. Step 5: Solve for x
    x = 210,432.68/508.09
  6. Step 6: Final answer
    x = 414.17

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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.