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Finding the Fourth Proportional to 180.62, 270.93 and 89.39

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Solution

The fourth proportional to 180.62, 270.93 and 89.39 is: 134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.62 : 270.93 = 89.39 : x
  2. Step 2: Convert to fraction form
    180.62/270.93 = 89.39/x
  3. Step 3: Cross multiply
    180.62x = 270.93 × 89.39
  4. Step 4: Simplify right side
    180.62x = 24,217.08
  5. Step 5: Solve for x
    x = 24,217.08/180.62
  6. Step 6: Final answer
    x = 134.08

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