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Finding the Fourth Proportional to 410.25, 613.82 and 227.77

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Solution

The fourth proportional to 410.25, 613.82 and 227.77 is: 340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 613.82 = 227.77 : x
  2. Step 2: Convert to fraction form
    410.25/613.82 = 227.77/x
  3. Step 3: Cross multiply
    410.25x = 613.82 × 227.77
  4. Step 4: Simplify right side
    410.25x = 139,809.41
  5. Step 5: Solve for x
    x = 139,809.41/410.25
  6. Step 6: Final answer
    x = 340.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.