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Finding the Fourth Proportional to 248.54, 370.31 and 234.56

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Solution

The fourth proportional to 248.54, 370.31 and 234.56 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 370.31 = 234.56 : x
  2. Step 2: Convert to fraction form
    248.54/370.31 = 234.56/x
  3. Step 3: Cross multiply
    248.54x = 370.31 × 234.56
  4. Step 4: Simplify right side
    248.54x = 86,859.67
  5. Step 5: Solve for x
    x = 86,859.67/248.54
  6. Step 6: Final answer
    x = 349.49

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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.