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Finding the Fourth Proportional to 355.81, 491.37 and 294.25

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Solution

The fourth proportional to 355.81, 491.37 and 294.25 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 491.37 = 294.25 : x
  2. Step 2: Convert to fraction form
    355.81/491.37 = 294.25/x
  3. Step 3: Cross multiply
    355.81x = 491.37 × 294.25
  4. Step 4: Simplify right side
    355.81x = 144,584.15
  5. Step 5: Solve for x
    x = 144,584.15/355.81
  6. Step 6: Final answer
    x = 406.35

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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.