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Finding the Fourth Proportional to 270.74, 373.37 and 180.85

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Solution

The fourth proportional to 270.74, 373.37 and 180.85 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 373.37 = 180.85 : x
  2. Step 2: Convert to fraction form
    270.74/373.37 = 180.85/x
  3. Step 3: Cross multiply
    270.74x = 373.37 × 180.85
  4. Step 4: Simplify right side
    270.74x = 67,526.07
  5. Step 5: Solve for x
    x = 67,526.07/270.74
  6. Step 6: Final answer
    x = 249.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.