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Finding the Fourth Proportional to 353.42, 491.08 and 349.62

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Solution

The fourth proportional to 353.42, 491.08 and 349.62 is: 485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.42 : 491.08 = 349.62 : x
  2. Step 2: Convert to fraction form
    353.42/491.08 = 349.62/x
  3. Step 3: Cross multiply
    353.42x = 491.08 × 349.62
  4. Step 4: Simplify right side
    353.42x = 171,688.93
  5. Step 5: Solve for x
    x = 171,688.93/353.42
  6. Step 6: Final answer
    x = 485.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.