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Finding the Fourth Proportional to 329.60, 493.44 and 246.98

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Solution

The fourth proportional to 329.60, 493.44 and 246.98 is: 369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 493.44 = 246.98 : x
  2. Step 2: Convert to fraction form
    329.60/493.44 = 246.98/x
  3. Step 3: Cross multiply
    329.60x = 493.44 × 246.98
  4. Step 4: Simplify right side
    329.60x = 121,869.81
  5. Step 5: Solve for x
    x = 121,869.81/329.60
  6. Step 6: Final answer
    x = 369.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.