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Finding the Fourth Proportional to 409.35, 611.03 and 360.75

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Solution

The fourth proportional to 409.35, 611.03 and 360.75 is: 538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.35 : 611.03 = 360.75 : x
  2. Step 2: Convert to fraction form
    409.35/611.03 = 360.75/x
  3. Step 3: Cross multiply
    409.35x = 611.03 × 360.75
  4. Step 4: Simplify right side
    409.35x = 220,427.27
  5. Step 5: Solve for x
    x = 220,427.27/409.35
  6. Step 6: Final answer
    x = 538.48

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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.