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Finding the Fourth Proportional to 180.57, 270.45 and 149.93

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Solution

The fourth proportional to 180.57, 270.45 and 149.93 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 270.45 = 149.93 : x
  2. Step 2: Convert to fraction form
    180.57/270.45 = 149.93/x
  3. Step 3: Cross multiply
    180.57x = 270.45 × 149.93
  4. Step 4: Simplify right side
    180.57x = 40,548.57
  5. Step 5: Solve for x
    x = 40,548.57/180.57
  6. Step 6: Final answer
    x = 224.56

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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.