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Finding the Fourth Proportional to 180.59, 270.93 and 153.05

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Solution

The fourth proportional to 180.59, 270.93 and 153.05 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.59 : 270.93 = 153.05 : x
  2. Step 2: Convert to fraction form
    180.59/270.93 = 153.05/x
  3. Step 3: Cross multiply
    180.59x = 270.93 × 153.05
  4. Step 4: Simplify right side
    180.59x = 41,465.84
  5. Step 5: Solve for x
    x = 41,465.84/180.59
  6. Step 6: Final answer
    x = 229.61

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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.