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Finding the Fourth Proportional to 360.99, 493.90 and 359.46

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Solution

The fourth proportional to 360.99, 493.90 and 359.46 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 493.90 = 359.46 : x
  2. Step 2: Convert to fraction form
    360.99/493.90 = 359.46/x
  3. Step 3: Cross multiply
    360.99x = 493.90 × 359.46
  4. Step 4: Simplify right side
    360.99x = 177,536.40
  5. Step 5: Solve for x
    x = 177,536.40/360.99
  6. Step 6: Final answer
    x = 491.80

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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.