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Finding the Fourth Proportional to 356.59, 491.83 and 216.73

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Solution

The fourth proportional to 356.59, 491.83 and 216.73 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.59 : 491.83 = 216.73 : x
  2. Step 2: Convert to fraction form
    356.59/491.83 = 216.73/x
  3. Step 3: Cross multiply
    356.59x = 491.83 × 216.73
  4. Step 4: Simplify right side
    356.59x = 106,594.32
  5. Step 5: Solve for x
    x = 106,594.32/356.59
  6. Step 6: Final answer
    x = 298.93

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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.