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Finding the Fourth Proportional to 329.62, 493.17 and 242.38

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Solution

The fourth proportional to 329.62, 493.17 and 242.38 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.62 : 493.17 = 242.38 : x
  2. Step 2: Convert to fraction form
    329.62/493.17 = 242.38/x
  3. Step 3: Cross multiply
    329.62x = 493.17 × 242.38
  4. Step 4: Simplify right side
    329.62x = 119,534.54
  5. Step 5: Solve for x
    x = 119,534.54/329.62
  6. Step 6: Final answer
    x = 362.64

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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.