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Finding the Fourth Proportional to 508.28, 761.96 and 183.56

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Solution

The fourth proportional to 508.28, 761.96 and 183.56 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.28 : 761.96 = 183.56 : x
  2. Step 2: Convert to fraction form
    508.28/761.96 = 183.56/x
  3. Step 3: Cross multiply
    508.28x = 761.96 × 183.56
  4. Step 4: Simplify right side
    508.28x = 139,862.03
  5. Step 5: Solve for x
    x = 139,862.03/508.28
  6. Step 6: Final answer
    x = 275.17

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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.