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Finding the Fourth Proportional to 356.82, 492.44 and 216.90

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Solution

The fourth proportional to 356.82, 492.44 and 216.90 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.82 : 492.44 = 216.90 : x
  2. Step 2: Convert to fraction form
    356.82/492.44 = 216.90/x
  3. Step 3: Cross multiply
    356.82x = 492.44 × 216.90
  4. Step 4: Simplify right side
    356.82x = 106,810.24
  5. Step 5: Solve for x
    x = 106,810.24/356.82
  6. Step 6: Final answer
    x = 299.34

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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.