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Finding the Fourth Proportional to 309.28, 462.02 and 248.56

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Solution

The fourth proportional to 309.28, 462.02 and 248.56 is: 371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 462.02 = 248.56 : x
  2. Step 2: Convert to fraction form
    309.28/462.02 = 248.56/x
  3. Step 3: Cross multiply
    309.28x = 462.02 × 248.56
  4. Step 4: Simplify right side
    309.28x = 114,839.69
  5. Step 5: Solve for x
    x = 114,839.69/309.28
  6. Step 6: Final answer
    x = 371.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.