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Finding the Fourth Proportional to 329.55, 492.36 and 245.79

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Solution

The fourth proportional to 329.55, 492.36 and 245.79 is: 367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.55 : 492.36 = 245.79 : x
  2. Step 2: Convert to fraction form
    329.55/492.36 = 245.79/x
  3. Step 3: Cross multiply
    329.55x = 492.36 × 245.79
  4. Step 4: Simplify right side
    329.55x = 121,017.16
  5. Step 5: Solve for x
    x = 121,017.16/329.55
  6. Step 6: Final answer
    x = 367.22

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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.