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Finding the Fourth Proportional to 360.56, 493.29 and 359.02

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Solution

The fourth proportional to 360.56, 493.29 and 359.02 is: 491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 493.29 = 359.02 : x
  2. Step 2: Convert to fraction form
    360.56/493.29 = 359.02/x
  3. Step 3: Cross multiply
    360.56x = 493.29 × 359.02
  4. Step 4: Simplify right side
    360.56x = 177,100.98
  5. Step 5: Solve for x
    x = 177,100.98/360.56
  6. Step 6: Final answer
    x = 491.18

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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.