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Finding the Fourth Proportional to 248.21, 342.52 and 137.68

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Solution

The fourth proportional to 248.21, 342.52 and 137.68 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.21 : 342.52 = 137.68 : x
  2. Step 2: Convert to fraction form
    248.21/342.52 = 137.68/x
  3. Step 3: Cross multiply
    248.21x = 342.52 × 137.68
  4. Step 4: Simplify right side
    248.21x = 47,157.30
  5. Step 5: Solve for x
    x = 47,157.30/248.21
  6. Step 6: Final answer
    x = 189.99

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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.