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Finding the Fourth Proportional to 351.90, 491.70 and 351.90

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Solution

The fourth proportional to 351.90, 491.70 and 351.90 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 491.70 = 351.90 : x
  2. Step 2: Convert to fraction form
    351.90/491.70 = 351.90/x
  3. Step 3: Cross multiply
    351.90x = 491.70 × 351.90
  4. Step 4: Simplify right side
    351.90x = 173,029.23
  5. Step 5: Solve for x
    x = 173,029.23/351.90
  6. Step 6: Final answer
    x = 491.70

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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.