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Finding the Fourth Proportional to 180.36, 271.89 and 148.50

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Solution

The fourth proportional to 180.36, 271.89 and 148.50 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 271.89 = 148.50 : x
  2. Step 2: Convert to fraction form
    180.36/271.89 = 148.50/x
  3. Step 3: Cross multiply
    180.36x = 271.89 × 148.50
  4. Step 4: Simplify right side
    180.36x = 40,375.67
  5. Step 5: Solve for x
    x = 40,375.67/180.36
  6. Step 6: Final answer
    x = 223.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.