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Finding the Fourth Proportional to 360.75, 493.55 and 359.21

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Solution

The fourth proportional to 360.75, 493.55 and 359.21 is: 491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.75 : 493.55 = 359.21 : x
  2. Step 2: Convert to fraction form
    360.75/493.55 = 359.21/x
  3. Step 3: Cross multiply
    360.75x = 493.55 × 359.21
  4. Step 4: Simplify right side
    360.75x = 177,288.10
  5. Step 5: Solve for x
    x = 177,288.10/360.75
  6. Step 6: Final answer
    x = 491.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.