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Finding the Fourth Proportional to 329.36, 492.21 and 242.87

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Solution

The fourth proportional to 329.36, 492.21 and 242.87 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 492.21 = 242.87 : x
  2. Step 2: Convert to fraction form
    329.36/492.21 = 242.87/x
  3. Step 3: Cross multiply
    329.36x = 492.21 × 242.87
  4. Step 4: Simplify right side
    329.36x = 119,540.58
  5. Step 5: Solve for x
    x = 119,540.58/329.36
  6. Step 6: Final answer
    x = 362.95

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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.