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Finding the Fourth Proportional to 310.92, 428.94 and 245.16

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Solution

The fourth proportional to 310.92, 428.94 and 245.16 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 428.94 = 245.16 : x
  2. Step 2: Convert to fraction form
    310.92/428.94 = 245.16/x
  3. Step 3: Cross multiply
    310.92x = 428.94 × 245.16
  4. Step 4: Simplify right side
    310.92x = 105,158.93
  5. Step 5: Solve for x
    x = 105,158.93/310.92
  6. Step 6: Final answer
    x = 338.22

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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.