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Finding the Fourth Proportional to 180.05, 269.98 and 159.53

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Solution

The fourth proportional to 180.05, 269.98 and 159.53 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 269.98 = 159.53 : x
  2. Step 2: Convert to fraction form
    180.05/269.98 = 159.53/x
  3. Step 3: Cross multiply
    180.05x = 269.98 × 159.53
  4. Step 4: Simplify right side
    180.05x = 43,069.91
  5. Step 5: Solve for x
    x = 43,069.91/180.05
  6. Step 6: Final answer
    x = 239.21

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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.