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Finding the Fourth Proportional to 329.57, 491.45 and 313.43

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Solution

The fourth proportional to 329.57, 491.45 and 313.43 is: 467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 491.45 = 313.43 : x
  2. Step 2: Convert to fraction form
    329.57/491.45 = 313.43/x
  3. Step 3: Cross multiply
    329.57x = 491.45 × 313.43
  4. Step 4: Simplify right side
    329.57x = 154,031.15
  5. Step 5: Solve for x
    x = 154,031.15/329.57
  6. Step 6: Final answer
    x = 467.38

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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.