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Finding the Fourth Proportional to 360.36, 496.89 and 340.83

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Solution

The fourth proportional to 360.36, 496.89 and 340.83 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.36 : 496.89 = 340.83 : x
  2. Step 2: Convert to fraction form
    360.36/496.89 = 340.83/x
  3. Step 3: Cross multiply
    360.36x = 496.89 × 340.83
  4. Step 4: Simplify right side
    360.36x = 169,355.02
  5. Step 5: Solve for x
    x = 169,355.02/360.36
  6. Step 6: Final answer
    x = 469.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.