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Finding the Fourth Proportional to 329.71, 491.34 and 310.23

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Solution

The fourth proportional to 329.71, 491.34 and 310.23 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.71 : 491.34 = 310.23 : x
  2. Step 2: Convert to fraction form
    329.71/491.34 = 310.23/x
  3. Step 3: Cross multiply
    329.71x = 491.34 × 310.23
  4. Step 4: Simplify right side
    329.71x = 152,429.09
  5. Step 5: Solve for x
    x = 152,429.09/329.71
  6. Step 6: Final answer
    x = 462.32

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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.