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Finding the Fourth Proportional to 356.71, 492.27 and 216.80

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Solution

The fourth proportional to 356.71, 492.27 and 216.80 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.71 : 492.27 = 216.80 : x
  2. Step 2: Convert to fraction form
    356.71/492.27 = 216.80/x
  3. Step 3: Cross multiply
    356.71x = 492.27 × 216.80
  4. Step 4: Simplify right side
    356.71x = 106,725.85
  5. Step 5: Solve for x
    x = 106,725.85/356.71
  6. Step 6: Final answer
    x = 299.20

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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.