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Finding the Fourth Proportional to 329.99, 492.66 and 310.41

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Solution

The fourth proportional to 329.99, 492.66 and 310.41 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.99 : 492.66 = 310.41 : x
  2. Step 2: Convert to fraction form
    329.99/492.66 = 310.41/x
  3. Step 3: Cross multiply
    329.99x = 492.66 × 310.41
  4. Step 4: Simplify right side
    329.99x = 152,926.59
  5. Step 5: Solve for x
    x = 152,926.59/329.99
  6. Step 6: Final answer
    x = 463.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.