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Finding the Fourth Proportional to 180.78, 272.16 and 123.37

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Solution

The fourth proportional to 180.78, 272.16 and 123.37 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 272.16 = 123.37 : x
  2. Step 2: Convert to fraction form
    180.78/272.16 = 123.37/x
  3. Step 3: Cross multiply
    180.78x = 272.16 × 123.37
  4. Step 4: Simplify right side
    180.78x = 33,574.83
  5. Step 5: Solve for x
    x = 33,574.83/180.78
  6. Step 6: Final answer
    x = 185.72

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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.