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Finding the Fourth Proportional to 329.69, 495.54 and 313.49

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Solution

The fourth proportional to 329.69, 495.54 and 313.49 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 495.54 = 313.49 : x
  2. Step 2: Convert to fraction form
    329.69/495.54 = 313.49/x
  3. Step 3: Cross multiply
    329.69x = 495.54 × 313.49
  4. Step 4: Simplify right side
    329.69x = 155,344.36
  5. Step 5: Solve for x
    x = 155,344.36/329.69
  6. Step 6: Final answer
    x = 471.19

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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.