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Finding the Fourth Proportional to 355.94, 491.24 and 216.03

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Solution

The fourth proportional to 355.94, 491.24 and 216.03 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 491.24 = 216.03 : x
  2. Step 2: Convert to fraction form
    355.94/491.24 = 216.03/x
  3. Step 3: Cross multiply
    355.94x = 491.24 × 216.03
  4. Step 4: Simplify right side
    355.94x = 106,120.27
  5. Step 5: Solve for x
    x = 106,120.27/355.94
  6. Step 6: Final answer
    x = 298.14

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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.