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Finding the Fourth Proportional to 180.72, 250.56 and 173.16

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Solution

The fourth proportional to 180.72, 250.56 and 173.16 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 250.56 = 173.16 : x
  2. Step 2: Convert to fraction form
    180.72/250.56 = 173.16/x
  3. Step 3: Cross multiply
    180.72x = 250.56 × 173.16
  4. Step 4: Simplify right side
    180.72x = 43,386.97
  5. Step 5: Solve for x
    x = 43,386.97/180.72
  6. Step 6: Final answer
    x = 240.08

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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.