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Finding the Fourth Proportional to 180.43, 248.49 and 155.86

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Solution

The fourth proportional to 180.43, 248.49 and 155.86 is: 214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 248.49 = 155.86 : x
  2. Step 2: Convert to fraction form
    180.43/248.49 = 155.86/x
  3. Step 3: Cross multiply
    180.43x = 248.49 × 155.86
  4. Step 4: Simplify right side
    180.43x = 38,729.03
  5. Step 5: Solve for x
    x = 38,729.03/180.43
  6. Step 6: Final answer
    x = 214.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.