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Finding the Fourth Proportional to 310.26, 428.21 and 227.60

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Solution

The fourth proportional to 310.26, 428.21 and 227.60 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 428.21 = 227.60 : x
  2. Step 2: Convert to fraction form
    310.26/428.21 = 227.60/x
  3. Step 3: Cross multiply
    310.26x = 428.21 × 227.60
  4. Step 4: Simplify right side
    310.26x = 97,457.32
  5. Step 5: Solve for x
    x = 97,457.32/310.26
  6. Step 6: Final answer
    x = 314.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.