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Finding the Fourth Proportional to 238.45, 357.30 and 180.61

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Solution

The fourth proportional to 238.45, 357.30 and 180.61 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.45 : 357.30 = 180.61 : x
  2. Step 2: Convert to fraction form
    238.45/357.30 = 180.61/x
  3. Step 3: Cross multiply
    238.45x = 357.30 × 180.61
  4. Step 4: Simplify right side
    238.45x = 64,531.95
  5. Step 5: Solve for x
    x = 64,531.95/238.45
  6. Step 6: Final answer
    x = 270.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.