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Finding the Fourth Proportional to 351.10, 491.90 and 351.10

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Solution

The fourth proportional to 351.10, 491.90 and 351.10 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.10 : 491.90 = 351.10 : x
  2. Step 2: Convert to fraction form
    351.10/491.90 = 351.10/x
  3. Step 3: Cross multiply
    351.10x = 491.90 × 351.10
  4. Step 4: Simplify right side
    351.10x = 172,706.09
  5. Step 5: Solve for x
    x = 172,706.09/351.10
  6. Step 6: Final answer
    x = 491.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.