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Finding the Fourth Proportional to 180.22, 271.65 and 164.83

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Solution

The fourth proportional to 180.22, 271.65 and 164.83 is: 248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 271.65 = 164.83 : x
  2. Step 2: Convert to fraction form
    180.22/271.65 = 164.83/x
  3. Step 3: Cross multiply
    180.22x = 271.65 × 164.83
  4. Step 4: Simplify right side
    180.22x = 44,775.39
  5. Step 5: Solve for x
    x = 44,775.39/180.22
  6. Step 6: Final answer
    x = 248.45

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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.