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Finding the Fourth Proportional to 365.84, 550.70 and 327.56

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Solution

The fourth proportional to 365.84, 550.70 and 327.56 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 550.70 = 327.56 : x
  2. Step 2: Convert to fraction form
    365.84/550.70 = 327.56/x
  3. Step 3: Cross multiply
    365.84x = 550.70 × 327.56
  4. Step 4: Simplify right side
    365.84x = 180,387.29
  5. Step 5: Solve for x
    x = 180,387.29/365.84
  6. Step 6: Final answer
    x = 493.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.