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Finding the Fourth Proportional to 248.65, 343.14 and 138.14

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Solution

The fourth proportional to 248.65, 343.14 and 138.14 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.65 : 343.14 = 138.14 : x
  2. Step 2: Convert to fraction form
    248.65/343.14 = 138.14/x
  3. Step 3: Cross multiply
    248.65x = 343.14 × 138.14
  4. Step 4: Simplify right side
    248.65x = 47,398.95
  5. Step 5: Solve for x
    x = 47,398.95/248.65
  6. Step 6: Final answer
    x = 190.63

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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.