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Finding the Fourth Proportional to 180.41, 270.63 and 77.70

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Solution

The fourth proportional to 180.41, 270.63 and 77.70 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 270.63 = 77.70 : x
  2. Step 2: Convert to fraction form
    180.41/270.63 = 77.70/x
  3. Step 3: Cross multiply
    180.41x = 270.63 × 77.70
  4. Step 4: Simplify right side
    180.41x = 21,026.60
  5. Step 5: Solve for x
    x = 21,026.60/180.41
  6. Step 6: Final answer
    x = 116.55

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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.