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Finding the Fourth Proportional to 365.69, 547.31 and 277.61

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Solution

The fourth proportional to 365.69, 547.31 and 277.61 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.69 : 547.31 = 277.61 : x
  2. Step 2: Convert to fraction form
    365.69/547.31 = 277.61/x
  3. Step 3: Cross multiply
    365.69x = 547.31 × 277.61
  4. Step 4: Simplify right side
    365.69x = 151,936.69
  5. Step 5: Solve for x
    x = 151,936.69/365.69
  6. Step 6: Final answer
    x = 415.48

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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.