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Finding the Fourth Proportional to 180.74, 250.76 and 174.26

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Solution

The fourth proportional to 180.74, 250.76 and 174.26 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 250.76 = 174.26 : x
  2. Step 2: Convert to fraction form
    180.74/250.76 = 174.26/x
  3. Step 3: Cross multiply
    180.74x = 250.76 × 174.26
  4. Step 4: Simplify right side
    180.74x = 43,697.52
  5. Step 5: Solve for x
    x = 43,697.52/180.74
  6. Step 6: Final answer
    x = 241.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.