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Finding the Fourth Proportional to 180.50, 271.12 and 171.76

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Solution

The fourth proportional to 180.50, 271.12 and 171.76 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 271.12 = 171.76 : x
  2. Step 2: Convert to fraction form
    180.50/271.12 = 171.76/x
  3. Step 3: Cross multiply
    180.50x = 271.12 × 171.76
  4. Step 4: Simplify right side
    180.50x = 46,567.57
  5. Step 5: Solve for x
    x = 46,567.57/180.50
  6. Step 6: Final answer
    x = 257.99

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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.