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Finding the Fourth Proportional to 310.37, 428.16 and 192.25

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Solution

The fourth proportional to 310.37, 428.16 and 192.25 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 428.16 = 192.25 : x
  2. Step 2: Convert to fraction form
    310.37/428.16 = 192.25/x
  3. Step 3: Cross multiply
    310.37x = 428.16 × 192.25
  4. Step 4: Simplify right side
    310.37x = 82,313.76
  5. Step 5: Solve for x
    x = 82,313.76/310.37
  6. Step 6: Final answer
    x = 265.21

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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.