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Finding the Fourth Proportional to 180.21, 248.58 and 141.12

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Solution

The fourth proportional to 180.21, 248.58 and 141.12 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 248.58 = 141.12 : x
  2. Step 2: Convert to fraction form
    180.21/248.58 = 141.12/x
  3. Step 3: Cross multiply
    180.21x = 248.58 × 141.12
  4. Step 4: Simplify right side
    180.21x = 35,079.61
  5. Step 5: Solve for x
    x = 35,079.61/180.21
  6. Step 6: Final answer
    x = 194.66

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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.