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Finding the Fourth Proportional to 365.36, 545.44 and 324.48

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Solution

The fourth proportional to 365.36, 545.44 and 324.48 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 545.44 = 324.48 : x
  2. Step 2: Convert to fraction form
    365.36/545.44 = 324.48/x
  3. Step 3: Cross multiply
    365.36x = 545.44 × 324.48
  4. Step 4: Simplify right side
    365.36x = 176,984.37
  5. Step 5: Solve for x
    x = 176,984.37/365.36
  6. Step 6: Final answer
    x = 484.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.