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Finding the Fourth Proportional to 356.08, 491.24 and 224.92

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Solution

The fourth proportional to 356.08, 491.24 and 224.92 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.08 : 491.24 = 224.92 : x
  2. Step 2: Convert to fraction form
    356.08/491.24 = 224.92/x
  3. Step 3: Cross multiply
    356.08x = 491.24 × 224.92
  4. Step 4: Simplify right side
    356.08x = 110,489.70
  5. Step 5: Solve for x
    x = 110,489.70/356.08
  6. Step 6: Final answer
    x = 310.29

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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.