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Finding the Fourth Proportional to 180.40, 248.90 and 138.88

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Solution

The fourth proportional to 180.40, 248.90 and 138.88 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 248.90 = 138.88 : x
  2. Step 2: Convert to fraction form
    180.40/248.90 = 138.88/x
  3. Step 3: Cross multiply
    180.40x = 248.90 × 138.88
  4. Step 4: Simplify right side
    180.40x = 34,567.23
  5. Step 5: Solve for x
    x = 34,567.23/180.40
  6. Step 6: Final answer
    x = 191.61

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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.