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Finding the Fourth Proportional to 180.74, 269.25 and 172.03

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Solution

The fourth proportional to 180.74, 269.25 and 172.03 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 269.25 = 172.03 : x
  2. Step 2: Convert to fraction form
    180.74/269.25 = 172.03/x
  3. Step 3: Cross multiply
    180.74x = 269.25 × 172.03
  4. Step 4: Simplify right side
    180.74x = 46,318.40
  5. Step 5: Solve for x
    x = 46,318.40/180.74
  6. Step 6: Final answer
    x = 256.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.