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Finding the Fourth Proportional to 356.26, 491.14 and 251.03

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Solution

The fourth proportional to 356.26, 491.14 and 251.03 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 491.14 = 251.03 : x
  2. Step 2: Convert to fraction form
    356.26/491.14 = 251.03/x
  3. Step 3: Cross multiply
    356.26x = 491.14 × 251.03
  4. Step 4: Simplify right side
    356.26x = 123,290.87
  5. Step 5: Solve for x
    x = 123,290.87/356.26
  6. Step 6: Final answer
    x = 346.07

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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.