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Finding the Fourth Proportional to 357.62, 492.45 and 349.53

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Solution

The fourth proportional to 357.62, 492.45 and 349.53 is: 481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.62 : 492.45 = 349.53 : x
  2. Step 2: Convert to fraction form
    357.62/492.45 = 349.53/x
  3. Step 3: Cross multiply
    357.62x = 492.45 × 349.53
  4. Step 4: Simplify right side
    357.62x = 172,126.05
  5. Step 5: Solve for x
    x = 172,126.05/357.62
  6. Step 6: Final answer
    x = 481.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.