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Finding the Fourth Proportional to 360.80, 493.49 and 355.13

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Solution

The fourth proportional to 360.80, 493.49 and 355.13 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 493.49 = 355.13 : x
  2. Step 2: Convert to fraction form
    360.80/493.49 = 355.13/x
  3. Step 3: Cross multiply
    360.80x = 493.49 × 355.13
  4. Step 4: Simplify right side
    360.80x = 175,253.10
  5. Step 5: Solve for x
    x = 175,253.10/360.80
  6. Step 6: Final answer
    x = 485.73

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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.