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Finding the Fourth Proportional to 403.53, 605.31 and 129.81

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Solution

The fourth proportional to 403.53, 605.31 and 129.81 is: 194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.53 : 605.31 = 129.81 : x
  2. Step 2: Convert to fraction form
    403.53/605.31 = 129.81/x
  3. Step 3: Cross multiply
    403.53x = 605.31 × 129.81
  4. Step 4: Simplify right side
    403.53x = 78,575.29
  5. Step 5: Solve for x
    x = 78,575.29/403.53
  6. Step 6: Final answer
    x = 194.72

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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.