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Finding the Fourth Proportional to 356.21, 491.50 and 208.79

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Solution

The fourth proportional to 356.21, 491.50 and 208.79 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.21 : 491.50 = 208.79 : x
  2. Step 2: Convert to fraction form
    356.21/491.50 = 208.79/x
  3. Step 3: Cross multiply
    356.21x = 491.50 × 208.79
  4. Step 4: Simplify right side
    356.21x = 102,619.93
  5. Step 5: Solve for x
    x = 102,619.93/356.21
  6. Step 6: Final answer
    x = 288.09

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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.