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Finding the Fourth Proportional to 356.74, 490.66 and 329.40

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Solution

The fourth proportional to 356.74, 490.66 and 329.40 is: 453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 490.66 = 329.40 : x
  2. Step 2: Convert to fraction form
    356.74/490.66 = 329.40/x
  3. Step 3: Cross multiply
    356.74x = 490.66 × 329.40
  4. Step 4: Simplify right side
    356.74x = 161,622.58
  5. Step 5: Solve for x
    x = 161,622.58/356.74
  6. Step 6: Final answer
    x = 453.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.