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Finding the Fourth Proportional to 409.02, 612.09 and 360.06

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Solution

The fourth proportional to 409.02, 612.09 and 360.06 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 612.09 = 360.06 : x
  2. Step 2: Convert to fraction form
    409.02/612.09 = 360.06/x
  3. Step 3: Cross multiply
    409.02x = 612.09 × 360.06
  4. Step 4: Simplify right side
    409.02x = 220,389.13
  5. Step 5: Solve for x
    x = 220,389.13/409.02
  6. Step 6: Final answer
    x = 538.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.