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Finding the Fourth Proportional to 180.05, 269.51 and 143.57

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Solution

The fourth proportional to 180.05, 269.51 and 143.57 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 269.51 = 143.57 : x
  2. Step 2: Convert to fraction form
    180.05/269.51 = 143.57/x
  3. Step 3: Cross multiply
    180.05x = 269.51 × 143.57
  4. Step 4: Simplify right side
    180.05x = 38,692.83
  5. Step 5: Solve for x
    x = 38,692.83/180.05
  6. Step 6: Final answer
    x = 214.90

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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.