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Finding the Fourth Proportional to 248.39, 342.77 and 137.87

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Solution

The fourth proportional to 248.39, 342.77 and 137.87 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.39 : 342.77 = 137.87 : x
  2. Step 2: Convert to fraction form
    248.39/342.77 = 137.87/x
  3. Step 3: Cross multiply
    248.39x = 342.77 × 137.87
  4. Step 4: Simplify right side
    248.39x = 47,257.01
  5. Step 5: Solve for x
    x = 47,257.01/248.39
  6. Step 6: Final answer
    x = 190.26

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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.