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Finding the Fourth Proportional to 365.07, 546.26 and 218.90

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Solution

The fourth proportional to 365.07, 546.26 and 218.90 is: 327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 546.26 = 218.90 : x
  2. Step 2: Convert to fraction form
    365.07/546.26 = 218.90/x
  3. Step 3: Cross multiply
    365.07x = 546.26 × 218.90
  4. Step 4: Simplify right side
    365.07x = 119,576.59
  5. Step 5: Solve for x
    x = 119,576.59/365.07
  6. Step 6: Final answer
    x = 327.54

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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.