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Finding the Fourth Proportional to 360.37, 539.82 and 177.49

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Solution

The fourth proportional to 360.37, 539.82 and 177.49 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.37 : 539.82 = 177.49 : x
  2. Step 2: Convert to fraction form
    360.37/539.82 = 177.49/x
  3. Step 3: Cross multiply
    360.37x = 539.82 × 177.49
  4. Step 4: Simplify right side
    360.37x = 95,812.65
  5. Step 5: Solve for x
    x = 95,812.65/360.37
  6. Step 6: Final answer
    x = 265.87

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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.