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Finding the Fourth Proportional to 365.34, 547.87 and 121.80

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Solution

The fourth proportional to 365.34, 547.87 and 121.80 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 547.87 = 121.80 : x
  2. Step 2: Convert to fraction form
    365.34/547.87 = 121.80/x
  3. Step 3: Cross multiply
    365.34x = 547.87 × 121.80
  4. Step 4: Simplify right side
    365.34x = 66,730.57
  5. Step 5: Solve for x
    x = 66,730.57/365.34
  6. Step 6: Final answer
    x = 182.65

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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.