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Finding the Fourth Proportional to 180.12, 248.07 and 155.55

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Solution

The fourth proportional to 180.12, 248.07 and 155.55 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 248.07 = 155.55 : x
  2. Step 2: Convert to fraction form
    180.12/248.07 = 155.55/x
  3. Step 3: Cross multiply
    180.12x = 248.07 × 155.55
  4. Step 4: Simplify right side
    180.12x = 38,586.05
  5. Step 5: Solve for x
    x = 38,586.05/180.12
  6. Step 6: Final answer
    x = 214.23

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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.