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Finding the Fourth Proportional to 355.70, 491.02 and 208.30

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Solution

The fourth proportional to 355.70, 491.02 and 208.30 is: 287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 491.02 = 208.30 : x
  2. Step 2: Convert to fraction form
    355.70/491.02 = 208.30/x
  3. Step 3: Cross multiply
    355.70x = 491.02 × 208.30
  4. Step 4: Simplify right side
    355.70x = 102,279.47
  5. Step 5: Solve for x
    x = 102,279.47/355.70
  6. Step 6: Final answer
    x = 287.54

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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.