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Finding the Fourth Proportional to 180.25, 271.60 and 160.61

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Solution

The fourth proportional to 180.25, 271.60 and 160.61 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 271.60 = 160.61 : x
  2. Step 2: Convert to fraction form
    180.25/271.60 = 160.61/x
  3. Step 3: Cross multiply
    180.25x = 271.60 × 160.61
  4. Step 4: Simplify right side
    180.25x = 43,619.92
  5. Step 5: Solve for x
    x = 43,619.92/180.25
  6. Step 6: Final answer
    x = 242.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.