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Finding the Fourth Proportional to 329.63, 492.82 and 313.02

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Solution

The fourth proportional to 329.63, 492.82 and 313.02 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.63 : 492.82 = 313.02 : x
  2. Step 2: Convert to fraction form
    329.63/492.82 = 313.02/x
  3. Step 3: Cross multiply
    329.63x = 492.82 × 313.02
  4. Step 4: Simplify right side
    329.63x = 154,261.73
  5. Step 5: Solve for x
    x = 154,261.73/329.63
  6. Step 6: Final answer
    x = 467.99

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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.