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Finding the Fourth Proportional to 180.64, 271.32 and 164.56

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Solution

The fourth proportional to 180.64, 271.32 and 164.56 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 271.32 = 164.56 : x
  2. Step 2: Convert to fraction form
    180.64/271.32 = 164.56/x
  3. Step 3: Cross multiply
    180.64x = 271.32 × 164.56
  4. Step 4: Simplify right side
    180.64x = 44,648.42
  5. Step 5: Solve for x
    x = 44,648.42/180.64
  6. Step 6: Final answer
    x = 247.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.