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Finding the Fourth Proportional to 329.32, 490.24 and 313.60

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Solution

The fourth proportional to 329.32, 490.24 and 313.60 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 490.24 = 313.60 : x
  2. Step 2: Convert to fraction form
    329.32/490.24 = 313.60/x
  3. Step 3: Cross multiply
    329.32x = 490.24 × 313.60
  4. Step 4: Simplify right side
    329.32x = 153,739.26
  5. Step 5: Solve for x
    x = 153,739.26/329.32
  6. Step 6: Final answer
    x = 466.84

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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.