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Finding the Fourth Proportional to 356.50, 492.04 and 216.61

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Solution

The fourth proportional to 356.50, 492.04 and 216.61 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 492.04 = 216.61 : x
  2. Step 2: Convert to fraction form
    356.50/492.04 = 216.61/x
  3. Step 3: Cross multiply
    356.50x = 492.04 × 216.61
  4. Step 4: Simplify right side
    356.50x = 106,579.83
  5. Step 5: Solve for x
    x = 106,579.83/356.50
  6. Step 6: Final answer
    x = 298.96

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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.