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Finding the Fourth Proportional to 409.08, 610.59 and 360.48

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Solution

The fourth proportional to 409.08, 610.59 and 360.48 is: 538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 610.59 = 360.48 : x
  2. Step 2: Convert to fraction form
    409.08/610.59 = 360.48/x
  3. Step 3: Cross multiply
    409.08x = 610.59 × 360.48
  4. Step 4: Simplify right side
    409.08x = 220,105.48
  5. Step 5: Solve for x
    x = 220,105.48/409.08
  6. Step 6: Final answer
    x = 538.05

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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.