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Finding the Fourth Proportional to 409.35, 610.86 and 365.54

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Solution

The fourth proportional to 409.35, 610.86 and 365.54 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.35 : 610.86 = 365.54 : x
  2. Step 2: Convert to fraction form
    409.35/610.86 = 365.54/x
  3. Step 3: Cross multiply
    409.35x = 610.86 × 365.54
  4. Step 4: Simplify right side
    409.35x = 223,293.92
  5. Step 5: Solve for x
    x = 223,293.92/409.35
  6. Step 6: Final answer
    x = 545.49

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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.