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Finding the Fourth Proportional to 418.23, 626.31 and 360.18

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Solution

The fourth proportional to 418.23, 626.31 and 360.18 is: 539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 626.31 = 360.18 : x
  2. Step 2: Convert to fraction form
    418.23/626.31 = 360.18/x
  3. Step 3: Cross multiply
    418.23x = 626.31 × 360.18
  4. Step 4: Simplify right side
    418.23x = 225,584.34
  5. Step 5: Solve for x
    x = 225,584.34/418.23
  6. Step 6: Final answer
    x = 539.38

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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.