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Finding the Fourth Proportional to 310.14, 426.96 and 269.22

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Solution

The fourth proportional to 310.14, 426.96 and 269.22 is: 370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 426.96 = 269.22 : x
  2. Step 2: Convert to fraction form
    310.14/426.96 = 269.22/x
  3. Step 3: Cross multiply
    310.14x = 426.96 × 269.22
  4. Step 4: Simplify right side
    310.14x = 114,946.17
  5. Step 5: Solve for x
    x = 114,946.17/310.14
  6. Step 6: Final answer
    x = 370.63

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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.